Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 6, Problem 25PS
A study of the time spent shopping in a supermarket for a market basket of 20 specific items showed an approximately uniform distribution between 20 minutes and 40 minutes. What is the
a. between 25 and 30 minutes?
b. less than 35 minutes?
c. What are the
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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
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
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9
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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.
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c. What is the probability that a…
Chapter 6 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 6 - Given a standardized normal distribution (with a...Ch. 6 - Given a standard normal distribution (with a mean...Ch. 6 - Given a standardized normal distribution (with a...Ch. 6 - Given a standardized normal distribution (with a...Ch. 6 - Given a normal distribution with =100 and =10,...Ch. 6 - Given a normal distribution with =50 and =4, what...Ch. 6 - Prob. 7PSCh. 6 - Toby’s Trucking Company determined that the...Ch. 6 - Prob. 9PSCh. 6 - A Set of final examination grades in an...
Ch. 6 - Prob. 11PSCh. 6 - In 2012, the per capita consumption of soft drinks...Ch. 6 - Many manufacturing problems involve the matching...Ch. 6 - Show that for a sample of n=39, the smallest and...Ch. 6 - For a sample of n=6, list the six Z values.Ch. 6 - Prob. 16PSCh. 6 - Prob. 17PSCh. 6 - The file Property Taxes contains the property...Ch. 6 - Prob. 19PSCh. 6 - One operation of a mill is to cut pieces of steel...Ch. 6 - Prob. 21PSCh. 6 - The file Utility contains the electricity costs,...Ch. 6 - Suppose you select one value from a uniform...Ch. 6 - The time between arrivals of customer at a bank...Ch. 6 - A study of the time spent shopping in a...Ch. 6 - How long does it take to download a two-hour movie...Ch. 6 - The Scheduled commuting time on the Long Island...Ch. 6 - Prob. 28PSCh. 6 - Prob. 29PSCh. 6 - Prob. 30PSCh. 6 - Autos arrive at a toll plaza located at the...Ch. 6 - Prob. 32PSCh. 6 - Prob. 33PSCh. 6 - Prob. 34PSCh. 6 - The time between unplanned shutdowns of a power...Ch. 6 - Golfers arrive at the starter's booth of a public...Ch. 6 - Prob. 37PSCh. 6 - Prob. 38PSCh. 6 - Prob. 39PSCh. 6 - Prob. 40PSCh. 6 - Prob. 41PSCh. 6 - Prob. 42PSCh. 6 - Prob. 43PSCh. 6 - Prob. 44PSCh. 6 - An industrial sewing machine uses ball bearing...Ch. 6 - The fill amount in 2-liter soft drink bottles is...Ch. 6 - In an effort to reduce the number of bottles that...Ch. 6 - Prob. 48PSCh. 6 - The file DomesticBeer contains the percentage...Ch. 6 - Prob. 50PSCh. 6 - Prob. 51PSCh. 6 - Prob. 52PSCh. 6 - Prob. 53PS
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- 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. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. 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 yeararrow_forwardFor 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…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forward
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