Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
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Textbook Question
Chapter 5, Problem 18P
The J.R. Ryland Computer Company is considering a plant expansion to enable the company to begin production of a new computer product. The company’s president must determine whether to make the expansion a medium- or large-scale project. Demand for the new product is uncertain, which for planning purposes may be low demand, medium demand, or high demand. The probability estimates for demand are 0.20, 0.50, and 0.30, respectively. Letting x and y indicate the annual profit in thousands of dollars, the firm’s planners developed the following profit forecasts for the medium-and large-scale expansion projects.
- a. Compute the
expected value for the profit associated with the two expansion alternatives. Which decision is preferred for the objective of maximizing the expected profit? - b. Compute the variance for the profit associated with the two expansion alternatives. Which decision is preferred for the objective of minimizing the risk or uncertainty?
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For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
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Months
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1029
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(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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c. What is the probability that a…
West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff.
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Excel File: data05-19.xls
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value
Variance
clients per year
squared clients per year
For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. What is the probability that a person…
Chapter 5 Solutions
Essentials of Business Analytics (MindTap Course List)
Ch. 5 - On-time arrivals, lost baggage, and customer...Ch. 5 - Consider the random experiment of rolling a pair...Ch. 5 - Suppose that for a recent admissions class, an Ivy...Ch. 5 - Suppose that we have two events, A and B, with...Ch. 5 - Students taking the Graduate Management Admissions...Ch. 5 - More than 40 million Americans are estimated to...Ch. 5 - The Human Resources Manager for Optilytics LLC is...Ch. 5 - As was discussed in the Analytics in Action from...Ch. 5 - Cooper Realty is a small real estate company...Ch. 5 - Prob. 10P
Ch. 5 - A local bank reviewed its credit-card policy with...Ch. 5 - RunningWithTheDevil.com created a web site to...Ch. 5 - An oil company purchased an option on land in...Ch. 5 - Suppose the following data represent the number of...Ch. 5 - The percent frequency distributions of job...Ch. 5 - The following table provides a probability...Ch. 5 - The probability distribution for damage claims...Ch. 5 - The J.R. Ryland Computer Company is considering a...Ch. 5 - Prob. 19PCh. 5 - Many companies use a quality control technique...Ch. 5 - Consider a Poisson distribution with .
Write the...Ch. 5 - Emergency 911 calls to a small municipality in...Ch. 5 - A regional director responsible for business...Ch. 5 - The random variable x is known to be uniformly...Ch. 5 - Prob. 26PCh. 5 - Suppose we are interested in bidding on a piece of...Ch. 5 - Prob. 28PCh. 5 - The Siler Construction Company is about to bid on...Ch. 5 - Suppose that the return for a particular large-cap...Ch. 5 - A person must score in the upper 2% of the...Ch. 5 - Assume that the traffic to the web site of Smileys...Ch. 5 - Suppose that Motorola uses the normal distribution...Ch. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Suppose that the time spent by players in a single...
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