QNT 561 Week 2 Weekly Learning Assessments - Assignment
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<strong>QNT</strong> <strong>561</strong> <strong>Week</strong> 2 <strong>Week</strong>ly <strong>Learning</strong><br />
<strong>Assessments</strong> – <strong>Assignment</strong><br />
Chapter 5 Exercise 4<br />
A large company must hire a new president. The Board of Directors prepares a list of<br />
five candidates, all of whom are equally qualified. Two of these candidates are members<br />
of a minority group. To avoid bias in the selection of the candidate, the company<br />
decides to select the president by lottery.<br />
a. What is the probability one of the minority candidates is hired? (Round your answer<br />
to 1 decimal place.)
. Which concept of probability did you use to make this estimate?<br />
Chapter 5 Exercise 14<br />
The chair of the board of directors says, "There is a 50% chance this company will earn a<br />
profit, a 30% chance it will break even, and a 20% chance it will lose money next<br />
quarter."<br />
a. Use an addition rule to find the probability the company will not lose money next<br />
quarter. (Round your answer to 2 decimal places.)<br />
b. Use the complement rule to find the probability it will not lose money next quarter.<br />
(Round your answer to 2 decimal places.)<br />
Find the <strong>Week</strong>ly <strong>Learning</strong> Assessment answers here <strong>QNT</strong> <strong>561</strong> <strong>Week</strong> 2 <strong>Week</strong>ly <strong>Learning</strong><br />
<strong>Assessments</strong><br />
Chapter 5 Exercise 22<br />
A National Park Service survey of visitors to the Rocky Mountain region revealed that<br />
50% visit Yellowstone Park, 40% visit the Tetons, and 35% visit both.<br />
a. What is the probability a vacationer will visit at least one of these attractions? (Round<br />
your answer to 2 decimal places.)<br />
b. What is the probability .35 called?<br />
c. Are the events mutually exclusive?<br />
Chapter 5 Exercise 34<br />
P(A1) = .20, P(A2) = .40, and P(A3) = .40. P(B1|A1) = .25. P(B1|A2) = .05, and P(B1|A3) =<br />
.10.<br />
Use Bayes' theorem to determine P(A3|B1). (Round your answer to 4 decimal places.)
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<strong>561</strong> <strong>Week</strong>ly <strong>Learning</strong> <strong>Assessments</strong><br />
Chapter 5 Exercise 40<br />
Solve the following:<br />
a. 20! 17!<br />
b. 9P3<br />
c. 7C2<br />
Chapter 6 Exercise 4<br />
Which of these variables are discrete and which are continuous random variables?<br />
a. The number of new accounts established by a salesperson in a year.<br />
b. The time between customer arrivals to a bank ATM.<br />
c. The number of customers in Big Nick’s barber shop.<br />
d. The amount of fuel in your car’s gas tank.<br />
e. The number of minorities on a jury.<br />
f. The outside temperature today.<br />
Chapter 6 Exercise 14<br />
The U.S. Postal Service reports 95% of first-class mail within the same city is delivered<br />
within 2 days of the time of mailing. Six letters are randomly sent to different locations.<br />
a. What is the probability that all six arrive within 2 days? (Round your answer to 4<br />
decimal places.)<br />
b. What is the probability that exactly five arrive within 2 days? (Round your answer to<br />
4 decimal places.)<br />
c. Find the mean number of letters that will arrive within 2 days. (Round your answer to<br />
1 decimal place.)
d-1. Compute the variance of the number that will arrive within 2 days. (Round your<br />
answer to 3 decimal places.)<br />
d-2. Compute the standard deviation of the number that will arrive within 2 days.<br />
(Round your answer to 4 decimal places.)<br />
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Chapter 6 Exercise 20<br />
In a binomial distribution, n = 12 and π = .60.<br />
a. Find the probability for x = 5? (Round your answer to 3 decimal places.)<br />
b. Find the probability for x ≤ 5? (Round your answer to 3 decimal places.)<br />
c. Find the probability for x ≥ 6? (Round your answer to 3 decimal places.)<br />
Chapter 6 Exercise 26<br />
A population consists of 15 items, 10 of which are acceptable.<br />
In a sample of four items, what is the probability that exactly three are acceptable?<br />
Assume the samples are drawn without replacement. (Round your answer to 4 decimal<br />
places.)<br />
Chapter 7 Exercise 4<br />
According to the Insurance Institute of America, a family of four spends between $400<br />
and $3,800 per year on all types of insurance. Suppose the money spent is uniformly<br />
distributed between these amounts.<br />
a. What is the mean amount spent on insurance?<br />
b. What is the standard deviation of the amount spent? (Round your answer to 2<br />
decimal places.)<br />
c. If we select a family at random, what is the probability they spend less than $2,000<br />
per year on insurance per year? (Round your answer to 4 decimal places.)
d. What is the probability a family spends more than $3,000 per year? (Round your<br />
answer to 4 decimal places.)<br />
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Chapter 7 Exercise 10<br />
The mean of a normal probability distribution is 60; the standard deviation is 5. (Round<br />
your answers to 2 decimal places.)<br />
a. About what percent of the observations lie between 55 and 65?<br />
b. About what percent of the observations lie between 50 and 70?<br />
c. About what percent of the observations lie between 45 and 75?<br />
Chapter 7 Exercise 14<br />
A normal population has a mean of 12.2 and a standard deviation of 2.5.<br />
a. Compute the z value associated with 14.3. (Round your answer to 2 decimal places.)<br />
b. What proportion of the population is between 12.2 and 14.3? (Round your answer to<br />
4 decimal places.)<br />
c. What proportion of the population is less than 10.0? (Round your answer to 4 decimal<br />
places.)<br />
Chapter 7 Exercise 18<br />
A normal population has a mean of 80.0 and a standard deviation of 14.0.<br />
a. Compute the probability of a value between 75.0 and 90.0. (Round intermediate<br />
calculations to 2 decimal places. Round final answer to 4 decimal places.)<br />
b. Compute the probability of a value of 75.0 or less. (Round intermediate calculations<br />
to 2 decimal places. Round final answer to 4 decimal places.)<br />
c. Compute the probability of a value between 55.0 and 70.0. (Round intermediate<br />
calculations to 2 decimal places. Round final answer to 4 decimal places.)
Complete <strong>Learning</strong> Assessment Answers just a click away <strong>QNT</strong> <strong>561</strong> <strong>Week</strong> 2 <strong>Week</strong>ly<br />
<strong>Learning</strong> <strong>Assessments</strong><br />
Chapter 7 Exercise 28<br />
For the most recent year available, the mean annual cost to attend a private university<br />
in the United States was $26,889. Assume the distribution of annual costs follows the<br />
normal probability distribution and the standard deviation is $4,500.<br />
Ninety-five percent of all students at private universities pay less than what amount?<br />
(Round z value to 2 decimal places and your final answer to the nearest whole number.)<br />
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<strong>QNT</strong> <strong>561</strong> <strong>Week</strong> 3 <strong>Week</strong>ly <strong>Learning</strong> <strong>Assessments</strong><br />
<strong>QNT</strong> <strong>561</strong> <strong>Week</strong> 4 <strong>Week</strong>ly <strong>Learning</strong> <strong>Assessments</strong><br />
<strong>QNT</strong> <strong>561</strong> <strong>Week</strong> 5 <strong>Week</strong>ly <strong>Learning</strong> <strong>Assessments</strong><br />
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