APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 6.5, Problem 38SE
At an outpatient mental health clinic, appointment cancellations occur at a
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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
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.
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c. What is the probability that a…
Chapter 6 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 6.1 - Which of the following could not be probability...Ch. 6.1 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.1 - On the midnight shift, the number of patients with...Ch. 6.2 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.2 - On the midnight shift, the number of patients with...Ch. 6.2 - Pepsi and Mountain Dew products sponsored a...Ch. 6.2 - Student Life Insurance Company wants to offer an...Ch. 6.2 - A lottery ticket has a grand prize of 28 million....Ch. 6.2 - Oxnard Petro Ltd. is buying hurricane insurance...Ch. 6.3 - The number of tickets purchased by an individual...
Ch. 6.3 - Prob. 11SECh. 6.3 - Prob. 12SECh. 6.4 - List the X values that are included in each...Ch. 6.4 - Write the probability of each italicized event in...Ch. 6.4 - Find the mean and standard deviation for each...Ch. 6.4 - Prob. 16SECh. 6.4 - Calculate each binomial probability: a. X = 5, n =...Ch. 6.4 - Calculate each binomial probability: a. X = 2, n =...Ch. 6.4 - Prob. 19SECh. 6.4 - Prob. 20SECh. 6.4 - Prob. 21SECh. 6.4 - Calculate each binomial probability: a. Fewer than...Ch. 6.4 - In the Ardmore Hotel, 20 percent of the customers...Ch. 6.4 - Historically, 5 percent of a mail-order firms...Ch. 6.4 - At a Noodles Company restaurant, the probability...Ch. 6.4 - J.D. Power and Associates says that 60 percent of...Ch. 6.4 - Prob. 27SECh. 6.4 - Police records in the town of Saratoga show that...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Calculate each Poisson probability: a. P(X = 6), ...Ch. 6.5 - Prob. 32SECh. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Prob. 35SECh. 6.5 - Prob. 36SECh. 6.5 - According to J.D. Power and Associates 2006...Ch. 6.5 - At an outpatient mental health clinic, appointment...Ch. 6.5 - The average number of items (such as a drink or...Ch. 6.5 - (a) Why might the number of yawns per minute by...Ch. 6.5 - Prob. 41SECh. 6.5 - Prob. 42SECh. 6.5 - Prob. 43SECh. 6.5 - Prob. 44SECh. 6.5 - The probability that a passenger's bag will be...Ch. 6.6 - (a) State the values that X can assume in each...Ch. 6.6 - ABC Warehouse has eight refrigerators in stock....Ch. 6.6 - A statistics textbook chapter contains 60...Ch. 6.6 - Fifty employee travel expense reimbursement...Ch. 6.6 - A medical laboratory receives 40 blood specimens...Ch. 6.6 - Prob. 51SECh. 6.6 - Two hundred employee travel expense reimbursement...Ch. 6.6 - A law enforcement agency processes 500 background...Ch. 6.6 - Four hundred automobiles arc to be inspected for...Ch. 6.7 - Find each geometric probability. a. P(X = 5) when ...Ch. 6.7 - In the Ardmore Hotel. 20 percent of the guests...Ch. 6.7 - Prob. 57SECh. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - Prob. 60SECh. 6.8 - Prob. 61SECh. 6 - Define (a) random process, (b) random variable,...Ch. 6 - Without using formulas, explain the meaning of (a)...Ch. 6 - What is the difference between a PDF and a CDF?...Ch. 6 - (a) What are the two parameters of a uniform...Ch. 6 - (a) Describe a Bernoulli experiment and give two...Ch. 6 - Prob. 6CRCh. 6 - (a) What are the parameters of a Poisson...Ch. 6 - In the binomial and Poisson models, why is the...Ch. 6 - (a) When are we justified in using the Poisson...Ch. 6 - Prob. 10CRCh. 6 - When are we justified in using (a) the Poisson...Ch. 6 - Name a situation when we would need the (a)...Ch. 6 - What do Rules 1 and 2 say about transforming a...Ch. 6 - What do Rules 3 and 4 say about sums of several...Ch. 6 - In Rule 5, what does the covariance measure? What...Ch. 6 - The probability that a 30-year-old white male will...Ch. 6 - Prob. 63CECh. 6 - Jane is planning to offer a Groupon for inner tube...Ch. 6 - Prob. 66CECh. 6 - In a certain year, on average 10 percent of the...Ch. 6 - The probability that an American CEO can transact...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - Write the Excel binomial formula for each...Ch. 6 - Tired of careless spelling and grammar, a company...Ch. 6 - Prob. 73CECh. 6 - Prob. 74CECh. 6 - Prob. 75CECh. 6 - Write the Excel formula for each Poisson...Ch. 6 - A small feeder airline knows that the probability...Ch. 6 - Although television HDTV converters are tested...Ch. 6 - Prob. 79CECh. 6 - There is a 70 percent chance that an airline...Ch. 6 - Lunch customers arrive at a Noodles Company...Ch. 6 - In a major league baseball game, the average is...Ch. 6 - Prob. 83CECh. 6 - In a recent year, potentially dangerous commercial...Ch. 6 - At an outpatient mental health clinic, appointment...Ch. 6 - Prob. 86CECh. 6 - Prob. 87CECh. 6 - Past insurance company audits have found that 2...Ch. 6 - Prob. 89CECh. 6 - In Northern Yellowstone Lake, earthquakes occur at...Ch. 6 - On New Yorks Verrazano Narrows bridge, traffic...Ch. 6 - Leaks occur in a pipeline at a mean rate of 1 leak...Ch. 6 - Prob. 93CECh. 6 - The probability is .03 that a passenger on United...Ch. 6 - Prob. 95CECh. 6 - On average, 2 percent of all persons who are given...Ch. 6 - Prob. 97CECh. 6 - Prob. 99CECh. 6 - The probability that a bakery customer will order...Ch. 6 - Prob. 101CECh. 6 - For patients aged 81 to 90, the probability is .07...Ch. 6 - Prob. 103CECh. 6 - Prob. 104CECh. 6 - Prob. 105CECh. 6 - The Rejuvo Corp. manufactures granite countertop...Ch. 6 - Prob. 107CECh. 6 - Prob. 108CECh. 6 - Prob. 109CECh. 6 - Prob. 110CECh. 6 - Malaprop Ltd. sells two products. Daily sales of...
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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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- A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardWest 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 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 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_forwardReconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.arrow_forward
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