Three dice are tossed. Which is the more likely event That the su.pdf
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Three dice are tossed. Which is the more likely event? That the sum of the faces is 9 or the sum of the faces is 10? Justify your answer. Solution Average value of each throw = 3.5 Average value of 3 throws = 10.5 The nearer the sum is to the average, the more is its probability. So, P(10)>P(9).
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When should we use partial derivativesPlease explain.Solution.pdf
When should we use partial derivatives and when should we use ordinary derivatives?
Please explain in 1 or 2 paragraph
Thank you.
Solution
From a particular point of view total derivative and partial derivatives are the same.
The dependencies of the variables and the nature of derivatives should be clearly stated, but it is
often they are not. One may make the convention that when the total notation is used, variables
are dependent unless otherwise stated; and when partial notation is used they are independent
unless otherwise stated. The dy/dx = 0 assumption is not incorrect. The user that does not adust
for it is incorrect. If a calculator given 3*4+3 returns 15 but the user intended 3*(4+3) which
returns 21 the user was in error..
When should stimulus programs be appliedSolutionStimulus prog.pdf
When should descriptive statistics and inferential statistics be used in 250 words or less?
Solution
Descriptive statistics are used to reveal patterns through the analysis of numeric
data. Inferential statistics are used to draw conclusions and make predictions based on the
analysis of numeric data..
When performing a hypothesis test for the ratio of two population va.pdf
When performing a hypothesis test for the ratio of two population variances, the upper critical F
value is denoted FR. The lower critical F value, FL , can be found as follows: interchange the
degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR
can be denoted F?/2 and FL can be denoted F1-?/2.
Find the critical values FL and FR for a two-tailed hypothesis test based on the following
values:
n1 = 9, n2 = 7, ? = 0.05
a. 0.2411, 4.1468
b. 0.3931, 4.1468
c. 0.2150, 4.8232
d. 0.2150, 5.5996
Solution
c. 0.2150, 4.8232.
To make a map of EarthSolutionIf shapes are accurate then,1.pdf
To make a map of Earth
Solution
If shapes are accurate: then,
1. Areas of various shapes will be contracted or elongated in a similar ration.
2. Use of calibration tool with help measure area with respect to each other.
3. There will be no conclusion about the type of surface owned by a particular shape or
geography.
4. Map can also give idea about the distances between two shapes..
To estimate the losses likely to occur when a threat is realized or .pdf
To estimate the losses likely to occur when a threat is realized or a vulnerability is exploited,
which of the following loss categories allow management the best means to estimate their
potential losses?
a) Single occurrence loss, actual loss
b) Expected loss, catastrophic loss
c) Catastrophic loss, actual loss
d) Expected loss, single occurrence loss
Solution
d. Two loss categories are usually identified, including (i) losses caused by threats with
reasonably predictable occurrence rates, referred to as expected losses expressed as dollars per
year and are computed as the product of occurrence rate, loss potential, and vulnerability factor,
and (ii) losses caused by threats with a very low rate of occurrence (low-probability) that is
difficult to estimate but the threat would cause a very high loss if it were to occur (high-
consequence risk), referred to as a single occurrence loss and is expressed as the product of loss
potential, vulnerability factor, and asset value..
To estimate the health risks of obesity, we might compare how long o.pdf
To estimate the health risks of obesity, we might compare how long obese and nonobese people
live. Smoking is a lurking variable that may reduce the gap between the two groups, because
smoking tends to both reduce weight and lead to earlier death. So if we ignore smoking, we may
underestimate the health risks of obesity. Illustrate Simpson\'s paradox by a simplified version of
this situation: make up two
Solution
yes.
To diagnose an organization, the OD practitioner carefully examines .pdf
To diagnose an organization, the OD practitioner carefully examines the management team to
discover the cause its problems.
True
False
Solution
True.
While diagnosing an organization, the OD practioner examines Strategy, culture, structure,
technology and people. The examination of people starts with a careful investigation of
management team to discover the cause its problems..
to analyze the risk, or volatility associated with investing in chev.pdf
to analyze the risk, or volatility associated with investing in chevron Corporation common stock,
a sample of the monthly total percentage return for 12 months was taken. The returns for the 12
months of 2005 are shown here. Total return is price appreciated plus any dividend paid.
Solution
nothing is shown.
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When should we use partial derivativesPlease explain.Solution.pdf
When should we use partial derivatives and when should we use ordinary derivatives?
Please explain in 1 or 2 paragraph
Thank you.
Solution
From a particular point of view total derivative and partial derivatives are the same.
The dependencies of the variables and the nature of derivatives should be clearly stated, but it is
often they are not. One may make the convention that when the total notation is used, variables
are dependent unless otherwise stated; and when partial notation is used they are independent
unless otherwise stated. The dy/dx = 0 assumption is not incorrect. The user that does not adust
for it is incorrect. If a calculator given 3*4+3 returns 15 but the user intended 3*(4+3) which
returns 21 the user was in error..
When should stimulus programs be appliedSolutionStimulus prog.pdf
When should descriptive statistics and inferential statistics be used in 250 words or less?
Solution
Descriptive statistics are used to reveal patterns through the analysis of numeric
data. Inferential statistics are used to draw conclusions and make predictions based on the
analysis of numeric data..
When performing a hypothesis test for the ratio of two population va.pdf
When performing a hypothesis test for the ratio of two population variances, the upper critical F
value is denoted FR. The lower critical F value, FL , can be found as follows: interchange the
degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR
can be denoted F?/2 and FL can be denoted F1-?/2.
Find the critical values FL and FR for a two-tailed hypothesis test based on the following
values:
n1 = 9, n2 = 7, ? = 0.05
a. 0.2411, 4.1468
b. 0.3931, 4.1468
c. 0.2150, 4.8232
d. 0.2150, 5.5996
Solution
c. 0.2150, 4.8232.
To make a map of EarthSolutionIf shapes are accurate then,1.pdf
To make a map of Earth
Solution
If shapes are accurate: then,
1. Areas of various shapes will be contracted or elongated in a similar ration.
2. Use of calibration tool with help measure area with respect to each other.
3. There will be no conclusion about the type of surface owned by a particular shape or
geography.
4. Map can also give idea about the distances between two shapes..
To estimate the losses likely to occur when a threat is realized or .pdf
To estimate the losses likely to occur when a threat is realized or a vulnerability is exploited,
which of the following loss categories allow management the best means to estimate their
potential losses?
a) Single occurrence loss, actual loss
b) Expected loss, catastrophic loss
c) Catastrophic loss, actual loss
d) Expected loss, single occurrence loss
Solution
d. Two loss categories are usually identified, including (i) losses caused by threats with
reasonably predictable occurrence rates, referred to as expected losses expressed as dollars per
year and are computed as the product of occurrence rate, loss potential, and vulnerability factor,
and (ii) losses caused by threats with a very low rate of occurrence (low-probability) that is
difficult to estimate but the threat would cause a very high loss if it were to occur (high-
consequence risk), referred to as a single occurrence loss and is expressed as the product of loss
potential, vulnerability factor, and asset value..
To estimate the health risks of obesity, we might compare how long o.pdf
To estimate the health risks of obesity, we might compare how long obese and nonobese people
live. Smoking is a lurking variable that may reduce the gap between the two groups, because
smoking tends to both reduce weight and lead to earlier death. So if we ignore smoking, we may
underestimate the health risks of obesity. Illustrate Simpson\'s paradox by a simplified version of
this situation: make up two
Solution
yes.
To diagnose an organization, the OD practitioner carefully examines .pdf
To diagnose an organization, the OD practitioner carefully examines the management team to
discover the cause its problems.
True
False
Solution
True.
While diagnosing an organization, the OD practioner examines Strategy, culture, structure,
technology and people. The examination of people starts with a careful investigation of
management team to discover the cause its problems..
to analyze the risk, or volatility associated with investing in chev.pdf
to analyze the risk, or volatility associated with investing in chevron Corporation common stock,
a sample of the monthly total percentage return for 12 months was taken. The returns for the 12
months of 2005 are shown here. Total return is price appreciated plus any dividend paid.
Solution
nothing is shown.
Title VII prohibits claims of unintentional discrimination. True.pdf
Title VII prohibits claims of unintentional discrimination.
True or False? why
Solution
True,
Job requirements must be uniformly and consistently applied to persons of all races and colors.
Even if a job requirement is applied consistently, if it is not important for job performance or
business needs, the requirement may be found unlawful if it excludes persons of a certain racial
group or color significantly more than others. Examples of potentially unlawful practices
include: (1) soliciting applications only from sources in which all or most potential workers are
of the same race or color; (2) requiring applicants to have a certain educational background that
is not important for job performance or business needs; (3) testing applicants for knowledge,
skills or abilities that are not important for job performance or business needs.
Employers may legitimately need information about their employees or applicants race for
affirmative action purposes and/or to track applicant flow. One way to obtain racial information
and simultaneously guard against discriminatory selection is for employers to use separate forms
or otherwise keep the information about an applicant\'s race separate from the application. In that
way, the employer can capture the information it needs but ensure that it is not used in the
selection decision.
Unless the information is for such a legitimate purpose, pre-employment questions about race
can suggest that race will be used as a basis for making selection decisions. If the information is
used in the selection decision and members of particular racial groups are excluded from
employment, the inquiries can constitute evidence of discrimination
Source: U.S. Equal Employment Opportunity Commission.
Time inconsistency is the problem of policy makers having a strong b.pdf
Time inconsistency is the problem of policy makers having a strong bias towards------ priorities
over the-------
A. long run, short run
B. monetary policy, fiscal policy
C. fiscal policy, monetary policy
D. short-run, long run
Solution
D.
time inconsistency: that sooner-occurring future intervals are valued more highly than later-
occurring future intervals, so the policy makers have strong bias towards short run over the long
run priorities..
Tim, a member of a virtual team, has been unable to complete his ass.pdf
Tim, a member of a virtual team, has been unable to complete his assigned tasks for a project in
the specified time frame. He meets Connie, the virtual team leader, to discuss the issues. Connie
expresses an understanding of the issue and indicates it would not be a problem and that she
would adjust the project dates to give Tim more time to complete his assigned tasks. Later that
week, Tim overhears Connie discussing with the project sponsor that Tim has been unable to
complete his assignments on time and that she feels Tim is incompetent uses his high workload
continuously as an excuse for not getting this project done on time. Connie also says that she
would recommend Tim be replaced by a more competent team member.
Based on the scenario, answer the following questions:
Solution
Rebuilding trust is not as straightforward as building trust in the first place.
Reconciliation occurs when both parties exert effort to rebuild a damaged relationship, and strive
to settle the issues that led to the disruption of that relationship. Reconciliation is a behavioral
manifestation of forgiveness, defined as a deliberate decision by the victim to surrender feelings
of resentment and grant amnesty to the offender. In this case the victim that is Tim has to
reconcile and forgive Connie to take the working relationship forward..
Throw an unfair coin. The chance of getting a head is twice of getti.pdf
Throw an unfair coin. The chance of getting a head is twice of getting a tail. Let X be the
Bernoulli random variable and X(H)=1 , X(T)=0. Write the pmf of X and find the expectation of
X
Solution
pmf of X is p(X) = 1 if heads = 0 if Tails Expectation of X = 1*(2/3) + 0*(1/3) =
2/3.
Throughout many organizations, communications serve four major funct.pdf
Throughout many organizations, communications serve four major functions. List and describe
in detail each of the four functions and share an example of each.
Solution
Any organisation to run itself to acheive the desired objective requires to have effective
communication. Communication serves many function. The function of communication in an
organisation are to inform, persuade and motivate. here are four function of communication to
serve an organization.
1. Inform - communication helps to inform essential information to the right person at right time
so that work can be done efficently. for example - marketing department inform to the strategic
level about the demand of product at right time
2. persuade - persuation is the abiltiy of changing the behaviour of employee. for ex- if an
unknown person tells any information of any concern matter to employee they will not trust but
when any higher authority of company tell, employee beleives
3. intereaction - communication allows employees to interect with customer and eachother.
employee may intereact socially both at work and outside the workplace
4 providing feedback - communication allows for personnel of organisation to give nad recieve
feedback on changes that are being considered or have been implemented . for ex- if a small
business owner is considering the purchase of new machinery, he may first consult with
employees to detrmine what features should it consists to work smoothly.
Three siblings, Susie, Tommy and Roland are 42 years old together no.pdf
Three siblings, Susie, Tommy and Roland are 42 years old together now. When Susie was of
Tommy\'s age, Roland was one year older than the triple of Tommy\'s age (at that time).
When Tommy will be of Susie\'s age, then Roland will be 10 years younger than the double of
Susie\'s age(at that time). How old will Roland be, when Tommy\'s age will be the 3/4 of Susie\'s
age (of that time)?
Solution
let age of susie be s, tommy be t and roland be r. s+t+r = 42...eqn1 susie would be
tommy\'s age s-t yrs back age of tommy then would be t - (s-t) = 2t-s yrs rolands age s-t yrs back
= r-(s-t) = r+t-s now r+t-s = 1+3(2t-s) =>5t - 2s -r = -1 ....eqn2 tommy will be susie\'s age (s-t)
yrs later age of susie would be s+(s-t) = 2s-t age of roland would be r+(s-t) = r+s-t r+s-t = 2(2s-t)
-10 =>3s-r -t = 10...eqn3 solving eqn1, 2, 3 we get r = 20 s = 13 t = 9. 3 yrs later tommy\'s age
would be 3/4 times that of susie. roland\'s age = 20+3 = 23yrs.
Three office workers take a coffee break. They chose one of their nu.pdf
Three office workers take a coffee break. They chose one of their numbers at random to pay for
the coffee as follows. All three flip a coin simultaneously and the one having a different outcome
pays for the coffee. If all coins come up the same, they flip the coins again. How long does it
take to determine who pays for the coffee?
Solution
\"When I was young, people called me a gambler. As the scale of my operations
increased I became known as a speculator. Now I am called a banker. But I have been doing the
same thing all the time\" -- Sir Ernest Cassel I\'m an Investment Wanker. I used to be a banker
but more than a decade in the Orc Race, tens of millions earned and lost for the bank, having to
survive several boom & bust cycles, thousands of days and nights spent working hard -and
playing hard- and a total burn out have contributed to turn me into a wanker. Literally. Well...
almost literally, let\'s say that today I could wank all day at the bank but I prefer to spend my
time on matters as futile as blogging, kung fu, History, finding out how I can become Superman,
learning new skills and Speculation. My transformation that began in early 2008 was at first kind
of forced. But since I\'ve understood the way the Orc Race really works and today for nothing on
Earth would I willingly run it back again. Running the Orc Race is like monkeys climbing on a
coconut tree. You shit on the monkeys below and when you look above all you can see is
assholes. At the very very top of the tree you can see IT, the Coconut. IT looks delicious, so
tasty, you want IT so much. From time to time you can see a senior monkey has a bite at it, he
seems so happy. So you work harder and harder to get to the Coconut. As you climb on the
hierarchy tree, pushing other monkeys off on the way, you get closer and closer. Sometimes they
even let you touch IT. In some very rare cases, when you really have outperformed and killed a
lot of other monkeys, you even can have a tiny tiny piece of IT. The only thing you want then is
the whole Coconut, so you work harder and harder, kill more and more monkeys until the day
you\'re the one who falls from the tree pushed off by a younger and stronger monkey. But here\'s
the sad truth: no monkey can have the whole Coconut, because it belongs to the owner of the
tree. The irony is, except for the case of a few billionaires who have been both ultra competent
and extremely lucky in their career, most of the time the Coconut tree belongs to millions of
shareholders, that\'s other monkeys climbing on a tree. In other words, nobody gets the Coconut..
Three independent events have probabilities 14,13 and 12. What is.pdf
Three independent events have probabilities 1/4,1/3 and 1/2. What is the probability that exactly
1 event will occur?
Solution
We will need to multiply the probability of the event occurring times the probability
of the events not occurring. For this we will need the complement of the probability of an event
occurring which is simply P(not occurring) = 1 - P(occurring) Probability of the only the first
event occurring: (1/4)(2/3)(1/2) = 1/12 Probability of the only the second event occurring:
(3/4)(1/3)(1/2) = 1/8 Probability of the only the third event occurring: (3/4)(2/3)(1/2) = 1/4
Probability of only one event occurring = 1/12 + 1/8 + 1/4 = 11/24.
Three points X,Y,Z are selected at random on a line segment L. What .pdf
Three points X,Y,Z are selected at random on a line segment L. What is the probability that Y
lies between X and Z?
Please show all steps of proof or work. THANKS!
Solution
sample space =xyz,xzy,yxz,yzx,zxy,zyx probability that Y lies between X and
Z=2/6=1/3.
Three points X1, X2, and X3 are selected at random from an interva.pdf
Three points X1, X2, and X3 are selected at
random from an interval of length L. Find the probability that none of the
three points are within a distance a of the left end where a < L.
Solution
P(a point lies within a distance \'a\' from the left end) = a/L
P(a point doesn\'t within a distance \'a\' from the left end) = (L-a)/L
P(none)= [(L-a)/L]^3.
Three Phase Circuits Why are we multiplying by 5 to the rms voltage.pdf
Three Phase Circuits: Why are we multiplying by 5 to the rms voltage source value?
Solution
APPLY MESH ANALYSIS IN LOOPS ,
THEN FIND CURRENTS
SO THE CURRENT IN THE CIRCUIT IS 5 A .
SO WE ARE MULTIPLYING WITH 5 A TO FIND POWER .
the magnitude of current in the circuit is 5 A , so to find.
Three office workers take a coffee break. They choose one of their n.pdf
Three office workers take a coffee break. They choose one of their numbers at random to pay for
the coffee as follows. All three flip a coin simultaneously and the one having the different
outcome pays for the coffee. If all coins come up the same, then they will flip the coins again.
How long does it take to determine who will pay for the coffee?
Solution
\"When I was young, people called me a gambler. As the scale of my operations
increased I became known as a speculator. Now I am called a banker. But I have been doing the
same thing all the time\" -- Sir Ernest Cassel I\'m an Investment Wanker. I used to be a banker
but more than a decade in the Orc Race, tens of millions earned and lost for the bank, having to
survive several boom & bust cycles, thousands of days and nights spent working hard -and
playing hard- and a total burn out have contributed to turn me into a wanker. Literally. Well...
almost literally, let\'s say that today I could wank all day at the bank but I prefer to spend my
time on matters as futile as blogging, kung fu, History, finding out how I can become Superman,
learning new skills and Speculation. My transformation that began in early 2008 was at first kind
of forced. But since I\'ve understood the way the Orc Race really works and today for nothing on
Earth would I willingly run it back again. Running the Orc Race is like monkeys climbing on a
coconut tree. You shit on the monkeys below and when you look above all you can see is
assholes. At the very very top of the tree you can see IT, the Coconut. IT looks delicious, so
tasty, you want IT so much. From time to time you can see a senior monkey has a bite at it, he
seems so happy. So you work harder and harder to get to the Coconut. As you climb on the
hierarchy tree, pushing other monkeys off on the way, you get closer and closer. Sometimes they
even let you touch IT. In some very rare cases, when you really have outperformed and killed a
lot of other monkeys, you even can have a tiny tiny piece of IT. The only thing you want then is
the whole Coconut, so you work harder and harder, kill more and more monkeys until the day
you\'re the one who falls from the tree pushed off by a younger and stronger monkey. But here\'s
the sad truth: no monkey can have the whole Coconut, because it belongs to the owner of the
tree. The irony is, except for the case of a few billionaires who have been both ultra competent
and extremely lucky in their career, most of the time the Coconut tree belongs to millions of
shareholders, that\'s other monkeys climbing on a tree. In other words, nobody gets the Coconut..
Three people who do not know each other are standing in line at a mo.pdf
Three people who do not know each other are standing in line at a movie theatre waiting for the
box office to open. What is the probability that they were all born in the same month?
Solution
[1/(12*12*12)] *12 =1/144.
Three people are working independently at solving a statistical prob.pdf
Three people are working independently at solving a statistical problem. The respective
probabilities that they will solve the problem are 1/4, 1/2, and 1/3.
What is the probability that the problem will be solved?
Solution
P(solved)=(1/4)*(1/2)*(1/3)=1/24.
Three coins are tossed, using ordered triples, do the followingNOT.pdf
Three coins are tossed, using ordered triples, do the following
NOTE:eg- if an outcome was 1st coin-heads, 2nd coin-tails and 3rd coin= heads then the ordered
triple would be (h, t, h)
a) write the set S for the sample space:
b)write the set E which is the event that exactly 1 head comes up
c) find p(E)
d) find O(E)
e) write the set F which is the event that at least 2 tails come up
f) find p(F)
g) find O(F)
Solution
a)
sample space S={(h,h,h),(t,t,t),(h,t,h),(t,h,h),(h,h,t),(t,t,h),(t,h,t),(h,t,t)}
b)
the set E which is the event that exactly 1 head comes up={(t,t,h),(t,h,t),(h,t,t)}
c)
p(E)=n(E)/n(S)=3/8
d)
O(E)=1-P(E)=1-3/8=5/8
e)
the set F which is the event that at least 2 tails come up={(t,t,h),(t,h,t),(h,t,t),(t,t,t)}
f)
p(F)=n(F)/n(S)=4/8=1/2
g)
O(F)=1-p(F)=1/2.
Three cards are dealt from a standard 52-card deck. 1 A. What is t.pdf
Three cards are dealt from a standard 52-card deck.
1 A. What is the probability that all three cards are spades?
Solution
The probability of drawing one spade is 13/52 or 1/4. The odds of drawing another
spade is 12/51. The odds of drawing a third spade is 11/50. If you multiply (1/4 * 12/51 *
11/50), you get 132/10200. This simplifies to 11/850..
The Challenger.pdf DNHS Official Publication
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
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Title VII prohibits claims of unintentional discrimination. True.pdf
Title VII prohibits claims of unintentional discrimination.
True or False? why
Solution
True,
Job requirements must be uniformly and consistently applied to persons of all races and colors.
Even if a job requirement is applied consistently, if it is not important for job performance or
business needs, the requirement may be found unlawful if it excludes persons of a certain racial
group or color significantly more than others. Examples of potentially unlawful practices
include: (1) soliciting applications only from sources in which all or most potential workers are
of the same race or color; (2) requiring applicants to have a certain educational background that
is not important for job performance or business needs; (3) testing applicants for knowledge,
skills or abilities that are not important for job performance or business needs.
Employers may legitimately need information about their employees or applicants race for
affirmative action purposes and/or to track applicant flow. One way to obtain racial information
and simultaneously guard against discriminatory selection is for employers to use separate forms
or otherwise keep the information about an applicant\'s race separate from the application. In that
way, the employer can capture the information it needs but ensure that it is not used in the
selection decision.
Unless the information is for such a legitimate purpose, pre-employment questions about race
can suggest that race will be used as a basis for making selection decisions. If the information is
used in the selection decision and members of particular racial groups are excluded from
employment, the inquiries can constitute evidence of discrimination
Source: U.S. Equal Employment Opportunity Commission.
Time inconsistency is the problem of policy makers having a strong b.pdf
Time inconsistency is the problem of policy makers having a strong bias towards------ priorities
over the-------
A. long run, short run
B. monetary policy, fiscal policy
C. fiscal policy, monetary policy
D. short-run, long run
Solution
D.
time inconsistency: that sooner-occurring future intervals are valued more highly than later-
occurring future intervals, so the policy makers have strong bias towards short run over the long
run priorities..
Tim, a member of a virtual team, has been unable to complete his ass.pdf
Tim, a member of a virtual team, has been unable to complete his assigned tasks for a project in
the specified time frame. He meets Connie, the virtual team leader, to discuss the issues. Connie
expresses an understanding of the issue and indicates it would not be a problem and that she
would adjust the project dates to give Tim more time to complete his assigned tasks. Later that
week, Tim overhears Connie discussing with the project sponsor that Tim has been unable to
complete his assignments on time and that she feels Tim is incompetent uses his high workload
continuously as an excuse for not getting this project done on time. Connie also says that she
would recommend Tim be replaced by a more competent team member.
Based on the scenario, answer the following questions:
Solution
Rebuilding trust is not as straightforward as building trust in the first place.
Reconciliation occurs when both parties exert effort to rebuild a damaged relationship, and strive
to settle the issues that led to the disruption of that relationship. Reconciliation is a behavioral
manifestation of forgiveness, defined as a deliberate decision by the victim to surrender feelings
of resentment and grant amnesty to the offender. In this case the victim that is Tim has to
reconcile and forgive Connie to take the working relationship forward..
Throw an unfair coin. The chance of getting a head is twice of getti.pdf
Throw an unfair coin. The chance of getting a head is twice of getting a tail. Let X be the
Bernoulli random variable and X(H)=1 , X(T)=0. Write the pmf of X and find the expectation of
X
Solution
pmf of X is p(X) = 1 if heads = 0 if Tails Expectation of X = 1*(2/3) + 0*(1/3) =
2/3.
Throughout many organizations, communications serve four major funct.pdf
Throughout many organizations, communications serve four major functions. List and describe
in detail each of the four functions and share an example of each.
Solution
Any organisation to run itself to acheive the desired objective requires to have effective
communication. Communication serves many function. The function of communication in an
organisation are to inform, persuade and motivate. here are four function of communication to
serve an organization.
1. Inform - communication helps to inform essential information to the right person at right time
so that work can be done efficently. for example - marketing department inform to the strategic
level about the demand of product at right time
2. persuade - persuation is the abiltiy of changing the behaviour of employee. for ex- if an
unknown person tells any information of any concern matter to employee they will not trust but
when any higher authority of company tell, employee beleives
3. intereaction - communication allows employees to interect with customer and eachother.
employee may intereact socially both at work and outside the workplace
4 providing feedback - communication allows for personnel of organisation to give nad recieve
feedback on changes that are being considered or have been implemented . for ex- if a small
business owner is considering the purchase of new machinery, he may first consult with
employees to detrmine what features should it consists to work smoothly.
Three siblings, Susie, Tommy and Roland are 42 years old together no.pdf
Three siblings, Susie, Tommy and Roland are 42 years old together now. When Susie was of
Tommy\'s age, Roland was one year older than the triple of Tommy\'s age (at that time).
When Tommy will be of Susie\'s age, then Roland will be 10 years younger than the double of
Susie\'s age(at that time). How old will Roland be, when Tommy\'s age will be the 3/4 of Susie\'s
age (of that time)?
Solution
let age of susie be s, tommy be t and roland be r. s+t+r = 42...eqn1 susie would be
tommy\'s age s-t yrs back age of tommy then would be t - (s-t) = 2t-s yrs rolands age s-t yrs back
= r-(s-t) = r+t-s now r+t-s = 1+3(2t-s) =>5t - 2s -r = -1 ....eqn2 tommy will be susie\'s age (s-t)
yrs later age of susie would be s+(s-t) = 2s-t age of roland would be r+(s-t) = r+s-t r+s-t = 2(2s-t)
-10 =>3s-r -t = 10...eqn3 solving eqn1, 2, 3 we get r = 20 s = 13 t = 9. 3 yrs later tommy\'s age
would be 3/4 times that of susie. roland\'s age = 20+3 = 23yrs.
Three office workers take a coffee break. They chose one of their nu.pdf
Three office workers take a coffee break. They chose one of their numbers at random to pay for
the coffee as follows. All three flip a coin simultaneously and the one having a different outcome
pays for the coffee. If all coins come up the same, they flip the coins again. How long does it
take to determine who pays for the coffee?
Solution
\"When I was young, people called me a gambler. As the scale of my operations
increased I became known as a speculator. Now I am called a banker. But I have been doing the
same thing all the time\" -- Sir Ernest Cassel I\'m an Investment Wanker. I used to be a banker
but more than a decade in the Orc Race, tens of millions earned and lost for the bank, having to
survive several boom & bust cycles, thousands of days and nights spent working hard -and
playing hard- and a total burn out have contributed to turn me into a wanker. Literally. Well...
almost literally, let\'s say that today I could wank all day at the bank but I prefer to spend my
time on matters as futile as blogging, kung fu, History, finding out how I can become Superman,
learning new skills and Speculation. My transformation that began in early 2008 was at first kind
of forced. But since I\'ve understood the way the Orc Race really works and today for nothing on
Earth would I willingly run it back again. Running the Orc Race is like monkeys climbing on a
coconut tree. You shit on the monkeys below and when you look above all you can see is
assholes. At the very very top of the tree you can see IT, the Coconut. IT looks delicious, so
tasty, you want IT so much. From time to time you can see a senior monkey has a bite at it, he
seems so happy. So you work harder and harder to get to the Coconut. As you climb on the
hierarchy tree, pushing other monkeys off on the way, you get closer and closer. Sometimes they
even let you touch IT. In some very rare cases, when you really have outperformed and killed a
lot of other monkeys, you even can have a tiny tiny piece of IT. The only thing you want then is
the whole Coconut, so you work harder and harder, kill more and more monkeys until the day
you\'re the one who falls from the tree pushed off by a younger and stronger monkey. But here\'s
the sad truth: no monkey can have the whole Coconut, because it belongs to the owner of the
tree. The irony is, except for the case of a few billionaires who have been both ultra competent
and extremely lucky in their career, most of the time the Coconut tree belongs to millions of
shareholders, that\'s other monkeys climbing on a tree. In other words, nobody gets the Coconut..
Three independent events have probabilities 14,13 and 12. What is.pdf
Three independent events have probabilities 1/4,1/3 and 1/2. What is the probability that exactly
1 event will occur?
Solution
We will need to multiply the probability of the event occurring times the probability
of the events not occurring. For this we will need the complement of the probability of an event
occurring which is simply P(not occurring) = 1 - P(occurring) Probability of the only the first
event occurring: (1/4)(2/3)(1/2) = 1/12 Probability of the only the second event occurring:
(3/4)(1/3)(1/2) = 1/8 Probability of the only the third event occurring: (3/4)(2/3)(1/2) = 1/4
Probability of only one event occurring = 1/12 + 1/8 + 1/4 = 11/24.
Three points X,Y,Z are selected at random on a line segment L. What .pdf
Three points X,Y,Z are selected at random on a line segment L. What is the probability that Y
lies between X and Z?
Please show all steps of proof or work. THANKS!
Solution
sample space =xyz,xzy,yxz,yzx,zxy,zyx probability that Y lies between X and
Z=2/6=1/3.
Three points X1, X2, and X3 are selected at random from an interva.pdf
Three points X1, X2, and X3 are selected at
random from an interval of length L. Find the probability that none of the
three points are within a distance a of the left end where a < L.
Solution
P(a point lies within a distance \'a\' from the left end) = a/L
P(a point doesn\'t within a distance \'a\' from the left end) = (L-a)/L
P(none)= [(L-a)/L]^3.
Three Phase Circuits Why are we multiplying by 5 to the rms voltage.pdf
Three Phase Circuits: Why are we multiplying by 5 to the rms voltage source value?
Solution
APPLY MESH ANALYSIS IN LOOPS ,
THEN FIND CURRENTS
SO THE CURRENT IN THE CIRCUIT IS 5 A .
SO WE ARE MULTIPLYING WITH 5 A TO FIND POWER .
the magnitude of current in the circuit is 5 A , so to find.
Three office workers take a coffee break. They choose one of their n.pdf
Three office workers take a coffee break. They choose one of their numbers at random to pay for
the coffee as follows. All three flip a coin simultaneously and the one having the different
outcome pays for the coffee. If all coins come up the same, then they will flip the coins again.
How long does it take to determine who will pay for the coffee?
Solution
\"When I was young, people called me a gambler. As the scale of my operations
increased I became known as a speculator. Now I am called a banker. But I have been doing the
same thing all the time\" -- Sir Ernest Cassel I\'m an Investment Wanker. I used to be a banker
but more than a decade in the Orc Race, tens of millions earned and lost for the bank, having to
survive several boom & bust cycles, thousands of days and nights spent working hard -and
playing hard- and a total burn out have contributed to turn me into a wanker. Literally. Well...
almost literally, let\'s say that today I could wank all day at the bank but I prefer to spend my
time on matters as futile as blogging, kung fu, History, finding out how I can become Superman,
learning new skills and Speculation. My transformation that began in early 2008 was at first kind
of forced. But since I\'ve understood the way the Orc Race really works and today for nothing on
Earth would I willingly run it back again. Running the Orc Race is like monkeys climbing on a
coconut tree. You shit on the monkeys below and when you look above all you can see is
assholes. At the very very top of the tree you can see IT, the Coconut. IT looks delicious, so
tasty, you want IT so much. From time to time you can see a senior monkey has a bite at it, he
seems so happy. So you work harder and harder to get to the Coconut. As you climb on the
hierarchy tree, pushing other monkeys off on the way, you get closer and closer. Sometimes they
even let you touch IT. In some very rare cases, when you really have outperformed and killed a
lot of other monkeys, you even can have a tiny tiny piece of IT. The only thing you want then is
the whole Coconut, so you work harder and harder, kill more and more monkeys until the day
you\'re the one who falls from the tree pushed off by a younger and stronger monkey. But here\'s
the sad truth: no monkey can have the whole Coconut, because it belongs to the owner of the
tree. The irony is, except for the case of a few billionaires who have been both ultra competent
and extremely lucky in their career, most of the time the Coconut tree belongs to millions of
shareholders, that\'s other monkeys climbing on a tree. In other words, nobody gets the Coconut..
Three people who do not know each other are standing in line at a mo.pdf
Three people who do not know each other are standing in line at a movie theatre waiting for the
box office to open. What is the probability that they were all born in the same month?
Solution
[1/(12*12*12)] *12 =1/144.
Three people are working independently at solving a statistical prob.pdf
Three people are working independently at solving a statistical problem. The respective
probabilities that they will solve the problem are 1/4, 1/2, and 1/3.
What is the probability that the problem will be solved?
Solution
P(solved)=(1/4)*(1/2)*(1/3)=1/24.
Three coins are tossed, using ordered triples, do the followingNOT.pdf
Three coins are tossed, using ordered triples, do the following
NOTE:eg- if an outcome was 1st coin-heads, 2nd coin-tails and 3rd coin= heads then the ordered
triple would be (h, t, h)
a) write the set S for the sample space:
b)write the set E which is the event that exactly 1 head comes up
c) find p(E)
d) find O(E)
e) write the set F which is the event that at least 2 tails come up
f) find p(F)
g) find O(F)
Solution
a)
sample space S={(h,h,h),(t,t,t),(h,t,h),(t,h,h),(h,h,t),(t,t,h),(t,h,t),(h,t,t)}
b)
the set E which is the event that exactly 1 head comes up={(t,t,h),(t,h,t),(h,t,t)}
c)
p(E)=n(E)/n(S)=3/8
d)
O(E)=1-P(E)=1-3/8=5/8
e)
the set F which is the event that at least 2 tails come up={(t,t,h),(t,h,t),(h,t,t),(t,t,t)}
f)
p(F)=n(F)/n(S)=4/8=1/2
g)
O(F)=1-p(F)=1/2.
Three cards are dealt from a standard 52-card deck. 1 A. What is t.pdf
Three cards are dealt from a standard 52-card deck.
1 A. What is the probability that all three cards are spades?
Solution
The probability of drawing one spade is 13/52 or 1/4. The odds of drawing another
spade is 12/51. The odds of drawing a third spade is 11/50. If you multiply (1/4 * 12/51 *
11/50), you get 132/10200. This simplifies to 11/850..
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