7. The scores of a certain population on the Wechsler Intelligence S.pdf
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7. The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed with mean ? and standard deviation ? = 10. A simple random sample of 25 children from this population is taken and each is given the WISC. The mean of the 25 scores is = 104.32. Based on these data, a 95% confidence interval for ? is A. 104.32 Solution C. 104.32 ± 3.92..
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8) A firm would be compelled to seek global integration when it has .pdf
8) A firm would be compelled to seek global integration when it has to _
A) Adjust to cultural differences
B) Cater to local customer needs
C) Accommodate differnces in distribution channels
D) Capitalize on converging consumer trends and universal needs
Solution
The correct answer is:
D) Capitalize on converging consumer trends and universal needs.
7.High Flyer, Inc., wishes to maintain a growth rate of 14.25 perc.pdf
7.
High Flyer, Inc., wishes to maintain a growth rate of 14.25 percent per year and a debt-equity
ratio of .55. The profit margin is 4.5 percent, and total asset turnover is constant at 1.15.
What is the dividend payout ratio? (Do not round intermediate calculations.Negative amount
should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places
(e.g., 32.16).)
Is this payout ratio possible?
High Flyer, Inc., wishes to maintain a growth rate of 14.25 percent per year and a debt-equity
ratio of .55. The profit margin is 4.5 percent, and total asset turnover is constant at 1.15.
Solution
Return on equity = Profit margin *Asset turnover *Debt equity
= .045 * 1.15 * .55
= .0285 or 2.85%
Growth =Return on equity * Retention ratio
.1425 = .0285 *RR
RR = .1425 /.0285
= 5 oe (5*100 = 500% )
a)Dividend payout ratio = 1- Retention ratio
= 1 - 5 = - 4 or -400%
b)No,as dividend [ayout ratio cannot be negative..
7.7 Let X1 and X2 be independent random variables having the uniform.pdf
7.7 Let X1 and X2 be independent random variables having the uniform density with ?=0 and
?=1. Referring to Figure 7.2, find expressions for the distribution function of Y=X1+X2 for (a) y
? 0; (b) 0
Solution
Please provide a figure because it would be very helpful. If the site\'s image
uploader is not worling upload it to imgur.com or any image uploader site then provide us the
link here..
7.......In the economy of UNAM in 1968 exports were $54, GDP was $.pdf
7.......
In the economy of UNAM in 1968 exports were $54, GDP was $587, Government Spending was
$69, Investment was $56 and Imports were $10. What was UNAM\'s consumption in 1968?
Solution
GDP = Consumption+Government spending+Investment+exports-imports
587 = consumption + 69+56+54-10
consumption = 587-169
consumption = $418.
7.1.4 Suppose that (x1,x2,...,xn) is a sample from a Poisson() dist.pdf
7.1.4 Suppose that (x1,x2,...,xn) is a sample from a Poisson(?) distribution with ??0 unknown. If
we use the prior distribution for ? given by the Gamma(?,?) distribution, then determine the
posterior distribution of ?.
Solution
In probability theory and statistics, the exponential distribution (a.k.a. negative
exponential distribution) is a family of continuous probability distributions. It describes the time
between events in a Poisson process, i.e. a process in which events occur continuously and
independently at a constant average rate. It is the continuous analogue of the geometric
distribution. Note that the exponential distribution is not the same as the class of exponential
families of distributions, which is a large class of probability distributions that includes the
exponential distribution as one of its members, but also includes the normal distribution,
binomial distribution, gamma distribution, Poisson, and many others..
7. Which of the following statements is typical of predisaster condi.pdf
7. Which of the following statements is typical of predisaster conditions among many tribal
governments?
a. Tribal governments typically participate in the National Flood Insurance Program (NFIP).
b. Tribal governments have the expertise needed to develop emergency management plans
internally.
c. Many tribal governments currently lack emergency management resources and training.
d. Most tribal governments set a relatively low priority on protecting their members and their
land.
Solution
option A is correct. bacause of lesser knowledge and lack of awarness the tribes are not
interested to participate in the nataional flood insurance program.
so,option A is correct..
7) Use the given acceleration function to find the velocity and posi.pdf
7) Use the given acceleration function to find the velocity and position vectors. Then find the
position at time t= 2 seconds.
a(t) = i + j + k
v(0) = 0 ; r(0) = 0
Solution
velocity at 2 sec= v(2)= 2i + 2j + 2k position after 2 sec= r(2)= 4i + 4j + 4k.
7. Since 1995 US non financial corporations have tended to A. Fi.pdf
7. Since 1995 US non financial corporations have tended to
A. Finance share repurchase with new debt
B increase thier issuance of both debt and equity securities
C. Retire more debt than they issue
D. Issue new equity securities and retire debt
E. Issue more equity shares than they repurchase
7. Since 1995 US non financial corporations have tended to
A. Finance share repurchase with new debt
B increase thier issuance of both debt and equity securities
C. Retire more debt than they issue
D. Issue new equity securities and retire debt
E. Issue more equity shares than they repurchase
A. Finance share repurchase with new debt
B increase thier issuance of both debt and equity securities
C. Retire more debt than they issue
D. Issue new equity securities and retire debt
E. Issue more equity shares than they repurchase
Solution
A. Debt has become cheaper with interest rate now near 0% . This has caused firms to issue more
debt and buy back shares from the market driving prices higher. The reason is activist investors
are forcing them to do this so that the value of their holdings increase since buybacks increase
shareprice.
Recommended
8) A firm would be compelled to seek global integration when it has .pdf
8) A firm would be compelled to seek global integration when it has to _
A) Adjust to cultural differences
B) Cater to local customer needs
C) Accommodate differnces in distribution channels
D) Capitalize on converging consumer trends and universal needs
Solution
The correct answer is:
D) Capitalize on converging consumer trends and universal needs.
7.High Flyer, Inc., wishes to maintain a growth rate of 14.25 perc.pdf
7.
High Flyer, Inc., wishes to maintain a growth rate of 14.25 percent per year and a debt-equity
ratio of .55. The profit margin is 4.5 percent, and total asset turnover is constant at 1.15.
What is the dividend payout ratio? (Do not round intermediate calculations.Negative amount
should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places
(e.g., 32.16).)
Is this payout ratio possible?
High Flyer, Inc., wishes to maintain a growth rate of 14.25 percent per year and a debt-equity
ratio of .55. The profit margin is 4.5 percent, and total asset turnover is constant at 1.15.
Solution
Return on equity = Profit margin *Asset turnover *Debt equity
= .045 * 1.15 * .55
= .0285 or 2.85%
Growth =Return on equity * Retention ratio
.1425 = .0285 *RR
RR = .1425 /.0285
= 5 oe (5*100 = 500% )
a)Dividend payout ratio = 1- Retention ratio
= 1 - 5 = - 4 or -400%
b)No,as dividend [ayout ratio cannot be negative..
7.7 Let X1 and X2 be independent random variables having the uniform.pdf
7.7 Let X1 and X2 be independent random variables having the uniform density with ?=0 and
?=1. Referring to Figure 7.2, find expressions for the distribution function of Y=X1+X2 for (a) y
? 0; (b) 0
Solution
Please provide a figure because it would be very helpful. If the site\'s image
uploader is not worling upload it to imgur.com or any image uploader site then provide us the
link here..
7.......In the economy of UNAM in 1968 exports were $54, GDP was $.pdf
7.......
In the economy of UNAM in 1968 exports were $54, GDP was $587, Government Spending was
$69, Investment was $56 and Imports were $10. What was UNAM\'s consumption in 1968?
Solution
GDP = Consumption+Government spending+Investment+exports-imports
587 = consumption + 69+56+54-10
consumption = 587-169
consumption = $418.
7.1.4 Suppose that (x1,x2,...,xn) is a sample from a Poisson() dist.pdf
7.1.4 Suppose that (x1,x2,...,xn) is a sample from a Poisson(?) distribution with ??0 unknown. If
we use the prior distribution for ? given by the Gamma(?,?) distribution, then determine the
posterior distribution of ?.
Solution
In probability theory and statistics, the exponential distribution (a.k.a. negative
exponential distribution) is a family of continuous probability distributions. It describes the time
between events in a Poisson process, i.e. a process in which events occur continuously and
independently at a constant average rate. It is the continuous analogue of the geometric
distribution. Note that the exponential distribution is not the same as the class of exponential
families of distributions, which is a large class of probability distributions that includes the
exponential distribution as one of its members, but also includes the normal distribution,
binomial distribution, gamma distribution, Poisson, and many others..
7. Which of the following statements is typical of predisaster condi.pdf
7. Which of the following statements is typical of predisaster conditions among many tribal
governments?
a. Tribal governments typically participate in the National Flood Insurance Program (NFIP).
b. Tribal governments have the expertise needed to develop emergency management plans
internally.
c. Many tribal governments currently lack emergency management resources and training.
d. Most tribal governments set a relatively low priority on protecting their members and their
land.
Solution
option A is correct. bacause of lesser knowledge and lack of awarness the tribes are not
interested to participate in the nataional flood insurance program.
so,option A is correct..
7) Use the given acceleration function to find the velocity and posi.pdf
7) Use the given acceleration function to find the velocity and position vectors. Then find the
position at time t= 2 seconds.
a(t) = i + j + k
v(0) = 0 ; r(0) = 0
Solution
velocity at 2 sec= v(2)= 2i + 2j + 2k position after 2 sec= r(2)= 4i + 4j + 4k.
7. Since 1995 US non financial corporations have tended to A. Fi.pdf
7. Since 1995 US non financial corporations have tended to
A. Finance share repurchase with new debt
B increase thier issuance of both debt and equity securities
C. Retire more debt than they issue
D. Issue new equity securities and retire debt
E. Issue more equity shares than they repurchase
7. Since 1995 US non financial corporations have tended to
A. Finance share repurchase with new debt
B increase thier issuance of both debt and equity securities
C. Retire more debt than they issue
D. Issue new equity securities and retire debt
E. Issue more equity shares than they repurchase
A. Finance share repurchase with new debt
B increase thier issuance of both debt and equity securities
C. Retire more debt than they issue
D. Issue new equity securities and retire debt
E. Issue more equity shares than they repurchase
Solution
A. Debt has become cheaper with interest rate now near 0% . This has caused firms to issue more
debt and buy back shares from the market driving prices higher. The reason is activist investors
are forcing them to do this so that the value of their holdings increase since buybacks increase
shareprice.
7. Of 12 available candidates for membership in a university committ.pdf
7. Of 12 available candidates for membership in a university committee, five are men and seven
are women. The committee is to consist of four persons. How many selections are possible if the
committee must have two men and two women? (Points : 1)
175
444
225
210
Solution
Choosing Men = 2 out of 5 = 5C2 = 10 Choosing Women = 2 out of 7 = 21 total
ways = 10 * 21 = 210.
7. If a factor response exceeds the F value by a very wide margin, t.pdf
This document discusses factors in an ANOVA analysis. A factor that has a response that greatly exceeds the F value is likely to have a very low p-value, meaning that factor has a statistically significant effect and is not likely due to chance. The p-value indicates the probability of getting a result at least as extreme as the one observed by chance alone.
7. Give a simple example of each of the following. a. Translatio.pdf
7. Give a simple example of each of the following.
a. Translation
b. Rotation
c. Reflection
d. Size Transformation (also known as a dilation)
Solution
a. Shifting a circle a foot to the right. b. Rotating a + sign so it becomes a
multiplication sign. c. Reflecting the letter d so it becomes b. d. Increasing the size of a circle..
7. BIC was organized on January 2, 2012, with 100,000 authorized sha.pdf
7. BIC was organized on January 2, 2012, with 100,000 authorized shares of $10 par value
common stock. During 2012, BIC had the following capital transactions. January 5 – issued
75,000 shares at $14 per share December 27 – purchased 5,000 shares at $11 per share BIC used
the par value method to record the purchase of the treasury shares. What would be the balance in
the contribute capital from treasury stock account at December 31, 2012. Use the lines below to
record the transactions. a. $0 b. $5,000 c. $15,000 d. $20,000
Solution
Balance in the treasury stock account will be 5000*1 i.e 5000.
7. A photon has a wavelength of 1.5 x 10-12 meters. What is this p.pdf
7. A photon has a wavelength of 1.5 x 10-12 meters. What is this photon
Solution
the photon frequency in air or vacuum = c / lambda = 3x10^8 / 1.5 x 10^-12 = 2 x
10^20 Hz The photon energy, E = h * f, where h = Planck\'s constant = 6.63x10-34 [Js]. =
1.326 x 10^-13 J Double check my calculations but I think it should be ok.
7. An analyst wants to study the number of hours Texans between the .pdf
7. An analyst wants to study the number of hours Texans between the ages 21 and 30 work per
week. In statistics, what do we call these Texans in the context of this study? A.Young workers
B.Sample C.Sub-population D.Population
Solution
D. Population
since sample is taken from population.
7. (Points 0.5) To find a confidence interval on the difference.pdf
7.
(Points: 0.5)
To find a confidence interval on the difference between the means of independent samples,
when the variances are unknown but assumed equal, the sample sizes of the two groups must be
the same.
True or False
Solution
Answer: False.
6. What are the components of the KMV Portfolio Manager Model S.pdf
6. What are the components of the KMV Portfolio Manager Model ?
Solution
Components of KMV portfolio Manager Model are ;
Ri= AISi-E(Li)=AISi-[EDFi*LGDi]
Std Dev i= ULi=Std dev di*LGDi=[EDFi(1-EDFi)]^1/2*LGDi
Where AIS =Annual all in spread on a loan= (annual fees earned )+( Loan rate-cost of fund)
E(L)= Expected loss on the loan
EDF=Expected default frequency
LGD =Loss given default
UL= Unexpected Loss is a measure of Loan risk Std dev i.
It is equal to the volatility of the default rate of the loan std dev di multiplied by LGD.
it is also equal to the square root of the product of probability of default and 1- probability of
default
Correlation coeffeicicent ij= correlation between systematic return componenets of equity return
of borrower i & j..
7-7. In 1895 an Italian criminologist, Cesare Lombroso, proposed t.pdf
7-7.
In 1895 an Italian criminologist, Cesare Lombroso, proposed that blood pressure be used to test
for truthfulness. In the 1930s, William Marston added the measurements of respiration and
perspiration to the process, built a machine to do the measuring, and called his invention the
polygraph or lie detector. Today, the federal courts will not consider polygraph results as
evidence, but nearly half the state courts do permit polygraph tests under certain circumstances.
In addition, its use in screening job applicants is on the rise. Physicians Michael Phillips, Allan
Brett, and John Beary subjected the polygraph to the same careful testing given to medical
diagnostic tests. They found that if 1,000 people were subjected to the polygraph and 500 told
the truth and 500 lied, the polygraph would indicate that approximately 185 of the truth-tellers
were liars and that approximately 120 of the liars were truth-tellers (
Solution
Type I Error=\"claiming that the person is liar when in fact s/he is a truth-teller\"
Type II Error=\"claiming that the person is a truth-teller when in fact s/he is a liar\".
7) Client agencies are the agencies that exist principally to serve .pdf
7) Client agencies are the agencies that exist principally to serve the needs of certain interest
groups or clients. The first group to be created was:
The Department of Agriculture
The Department of Commerce
The Department of Labor
The Department of Financea.
The Department of Agricultureb.
The Department of Commercec.
The Department of Labord.
The Department of Finance
Solution
a. The Department of Agriculture
Reason:
This agency was set up to support the primary sector in the economy..
6.When performing statistical tests, analysts almost always try to .pdf
6.When performing statistical tests, analysts almost always try to keep the chance of a Type I
error small. What happens if the chance of a Type I error is increased? A.The significance level
of the test gets smaller. B.One needs more evidence against the null hypothesis before rejecting
it. C.One is more likely to reject the null hypothesis when it is false. D.One needs less evidence
against the null hypothesis before rejecting it.
Solution
c.
7 Children are seated randomly in a row. What is the probability th.pdf
7 Children are seated randomly in a row. What is the probability that Joe and Bob sit together
and Mimi and Lisa sit together, but not next to Joe and Bob?
Solution
total ways they can be seated = 7!
now if we consider Joe and Bob sit together and Mimi and Lisa sit together the we can consider
Joe and Bob as one child and Mimi and Lisa as one child
no of ways they ca be seated = 5!*2*2 // 2comes as they can sit in two differnt ways next to
each other
no of ways they sit next to other = 4!*2 // same logic as previous consider all four as one child
no of ways they dont seat nex to oher = 5!*2*2 -4!*2
probabilit = (5!*2*2 -4!*2 )/7! = .086.
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
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7. Of 12 available candidates for membership in a university committ.pdf
7. Of 12 available candidates for membership in a university committee, five are men and seven
are women. The committee is to consist of four persons. How many selections are possible if the
committee must have two men and two women? (Points : 1)
175
444
225
210
Solution
Choosing Men = 2 out of 5 = 5C2 = 10 Choosing Women = 2 out of 7 = 21 total
ways = 10 * 21 = 210.
7. If a factor response exceeds the F value by a very wide margin, t.pdf
This document discusses factors in an ANOVA analysis. A factor that has a response that greatly exceeds the F value is likely to have a very low p-value, meaning that factor has a statistically significant effect and is not likely due to chance. The p-value indicates the probability of getting a result at least as extreme as the one observed by chance alone.
7. Give a simple example of each of the following. a. Translatio.pdf
7. Give a simple example of each of the following.
a. Translation
b. Rotation
c. Reflection
d. Size Transformation (also known as a dilation)
Solution
a. Shifting a circle a foot to the right. b. Rotating a + sign so it becomes a
multiplication sign. c. Reflecting the letter d so it becomes b. d. Increasing the size of a circle..
7. BIC was organized on January 2, 2012, with 100,000 authorized sha.pdf
7. BIC was organized on January 2, 2012, with 100,000 authorized shares of $10 par value
common stock. During 2012, BIC had the following capital transactions. January 5 – issued
75,000 shares at $14 per share December 27 – purchased 5,000 shares at $11 per share BIC used
the par value method to record the purchase of the treasury shares. What would be the balance in
the contribute capital from treasury stock account at December 31, 2012. Use the lines below to
record the transactions. a. $0 b. $5,000 c. $15,000 d. $20,000
Solution
Balance in the treasury stock account will be 5000*1 i.e 5000.
7. A photon has a wavelength of 1.5 x 10-12 meters. What is this p.pdf
7. A photon has a wavelength of 1.5 x 10-12 meters. What is this photon
Solution
the photon frequency in air or vacuum = c / lambda = 3x10^8 / 1.5 x 10^-12 = 2 x
10^20 Hz The photon energy, E = h * f, where h = Planck\'s constant = 6.63x10-34 [Js]. =
1.326 x 10^-13 J Double check my calculations but I think it should be ok.
7. An analyst wants to study the number of hours Texans between the .pdf
7. An analyst wants to study the number of hours Texans between the ages 21 and 30 work per
week. In statistics, what do we call these Texans in the context of this study? A.Young workers
B.Sample C.Sub-population D.Population
Solution
D. Population
since sample is taken from population.
7. (Points 0.5) To find a confidence interval on the difference.pdf
7.
(Points: 0.5)
To find a confidence interval on the difference between the means of independent samples,
when the variances are unknown but assumed equal, the sample sizes of the two groups must be
the same.
True or False
Solution
Answer: False.
6. What are the components of the KMV Portfolio Manager Model S.pdf
6. What are the components of the KMV Portfolio Manager Model ?
Solution
Components of KMV portfolio Manager Model are ;
Ri= AISi-E(Li)=AISi-[EDFi*LGDi]
Std Dev i= ULi=Std dev di*LGDi=[EDFi(1-EDFi)]^1/2*LGDi
Where AIS =Annual all in spread on a loan= (annual fees earned )+( Loan rate-cost of fund)
E(L)= Expected loss on the loan
EDF=Expected default frequency
LGD =Loss given default
UL= Unexpected Loss is a measure of Loan risk Std dev i.
It is equal to the volatility of the default rate of the loan std dev di multiplied by LGD.
it is also equal to the square root of the product of probability of default and 1- probability of
default
Correlation coeffeicicent ij= correlation between systematic return componenets of equity return
of borrower i & j..
7-7. In 1895 an Italian criminologist, Cesare Lombroso, proposed t.pdf
7-7.
In 1895 an Italian criminologist, Cesare Lombroso, proposed that blood pressure be used to test
for truthfulness. In the 1930s, William Marston added the measurements of respiration and
perspiration to the process, built a machine to do the measuring, and called his invention the
polygraph or lie detector. Today, the federal courts will not consider polygraph results as
evidence, but nearly half the state courts do permit polygraph tests under certain circumstances.
In addition, its use in screening job applicants is on the rise. Physicians Michael Phillips, Allan
Brett, and John Beary subjected the polygraph to the same careful testing given to medical
diagnostic tests. They found that if 1,000 people were subjected to the polygraph and 500 told
the truth and 500 lied, the polygraph would indicate that approximately 185 of the truth-tellers
were liars and that approximately 120 of the liars were truth-tellers (
Solution
Type I Error=\"claiming that the person is liar when in fact s/he is a truth-teller\"
Type II Error=\"claiming that the person is a truth-teller when in fact s/he is a liar\".
7) Client agencies are the agencies that exist principally to serve .pdf
7) Client agencies are the agencies that exist principally to serve the needs of certain interest
groups or clients. The first group to be created was:
The Department of Agriculture
The Department of Commerce
The Department of Labor
The Department of Financea.
The Department of Agricultureb.
The Department of Commercec.
The Department of Labord.
The Department of Finance
Solution
a. The Department of Agriculture
Reason:
This agency was set up to support the primary sector in the economy..
6.When performing statistical tests, analysts almost always try to .pdf
6.When performing statistical tests, analysts almost always try to keep the chance of a Type I
error small. What happens if the chance of a Type I error is increased? A.The significance level
of the test gets smaller. B.One needs more evidence against the null hypothesis before rejecting
it. C.One is more likely to reject the null hypothesis when it is false. D.One needs less evidence
against the null hypothesis before rejecting it.
Solution
c.
7 Children are seated randomly in a row. What is the probability th.pdf
7 Children are seated randomly in a row. What is the probability that Joe and Bob sit together
and Mimi and Lisa sit together, but not next to Joe and Bob?
Solution
total ways they can be seated = 7!
now if we consider Joe and Bob sit together and Mimi and Lisa sit together the we can consider
Joe and Bob as one child and Mimi and Lisa as one child
no of ways they ca be seated = 5!*2*2 // 2comes as they can sit in two differnt ways next to
each other
no of ways they sit next to other = 4!*2 // same logic as previous consider all four as one child
no of ways they dont seat nex to oher = 5!*2*2 -4!*2
probabilit = (5!*2*2 -4!*2 )/7! = .086.
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