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a u.s. travel data center\'s survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. find the 95% confidence interval of the true proportion of all adults who favor visiting historical sites as vacations Solution 1.96* v[0.42*0.58/v1500)] = 0.0250 Hence 95% CI will be 0.42-0.0250 < p < 0.42+0.0250.
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![a u.s. travel data center's survey of 1500 adults found that 42% of respondents stated that they
favor historical sites as vacations. find the 95% confidence interval of the true proportion of all
adults who favor visiting historical sites as vacations
Solution
1.96* v[0.42*0.58/v1500)] = 0.0250 Hence 95% CI will be 0.42-0.0250 < p <
0.42+0.0250](https://image.slidesharecdn.com/au-230324035208-1e570991/85/a-u-s-travel-data-centers-survey-of-1500-adults-found-that-42-of-pdf-1-320.jpg)
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A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn\'t take the wallet.
I have never in my life stolen anything.
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Judy:
I didn\'t take the wallet.
My daddy is rich enough, and I have a wallet of my own.
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David:
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I didn\'t know Margaret before I came into the elevator.
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Theo:
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I didn\'t take the wallet.
I didn\'t know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
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I didn\'t take the wallet.
Judy is guilty.
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Later, each person admitted that two of his/her statements were true and one was false.
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(Adapted from Scripta Mathematica.)
A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn\'t take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn\'t take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn\'t take the wallet.
I didn\'t know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn\'t take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
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stolen anything. (F)Theo did it. Judy: (F)I didn\'t take the wallet. (T)My daddy is rich enough,
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A tool used to determine the amount of time workers are spent on a task is called a
flow process chart
movement diagram
work distribution chart
Pert Chart
flow process chart
movement diagram
work distribution chart
Pert Chart
Solution
Flow process chart: is the graphical way of presenting, analyzing and displaying the process and
movement of resources.
Movement diagram: represents the motion of an object by displaying its location and signifying
the spaces between them.
Work Distribution charts: it analyses and describes the major functions of a work unit.
PERT chart: represents the network diagram displaying the time estimates to complete a
particular activity of a project.
Thus, the tool used to determine the amount of time workers are spent on a task is called PERT
CHART..
A total of 42 tons of two types of ore is to be loaded into a smelte.pdf
A total of 42 tons of two types of ore is to be loaded into a smelter. The first type contains 6.0%
copper, and the second contains 2.4% copper. Find the necessary amounts of each ore (to the
nearest ton) to produce 2 tons of copper.
Solution
x and y tones be two types of ore is to be loaded into a smelter
x+y=42
0.06x+0.024y=2
x=27.55
y=14.44
so 1st ore should be 28 tone and second ore should be 14 tone.
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a total of 100 students are taking a history exam. each student is required to write an essay on
one of six possible topics. What is the fewest possible number of students who could have
chosen the topic selected by most students?
Solution
This is possible event
17,17,17,17,16,16
Fewest number is 17 whichi is most number of syudent.
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A three-year bank CD paying 7.40 percent compounded quarterly. Calculate effective annual
interest rate (EAR)?
Solution
Interest =7.4 or 0.074 p.a
No of periods p.a =4
EAR=(1+0.0747/4)4-1
=0.076
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A total of 10 people, consisting of 5 married couples, are randomley.pdf
A total of 10 people, consisting of 5 married couples, are randomley seated in a row for a photo.
Let Ci denote the event that the ith couple are seated next to each other, i=1....5, and X be the
total number of couples that are seated next to each other.
a) find P(Ci) (i know this is 2/10)
b) for j not eqaul to I, find the cond. probability that P(Cj/Ci)
c) Find the expeted value for E[x] and var(X) of X.
Thank you, DETAILED EXPLANATION!
Solution
a) P(Ci)
we can consider ith couple as one unit and other 8 persons as individuals.
Thus, no. of arrangements = 2 * 9!
Total no. of possible arrangements = 10!
Thus, P(Ci) = 2 * 9! / 10! = 2/10 = 1/5
b) P(Cj|Ci)
Now, we have Ci as a couple, Cj as a couple
No. of possible cases = 2 * 2 * 8! = 4 * 8!
Total possible cases = 2 * 9!
Thus, P(Cj|Ci) = 4 * 8! / 2 * 9! = 2/9.
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