Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
5th Edition
ISBN: 9780134688886
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 3.1, Problem 2BSC
To determine
To check: Whether the value of 27.3 cents is 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
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…
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 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 3 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
Ch. 3.1 - Prob. 1BSCCh. 3.1 - Prob. 2BSCCh. 3.1 - Measures of Center In what sense are the mean,...Ch. 3.1 - Prob. 4BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 6BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 8BSCCh. 3.1 - Prob. 9BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...
Ch. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 12BSCCh. 3.1 - Prob. 13BSCCh. 3.1 - Prob. 14BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 17BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 19BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 21BSCCh. 3.1 - In Exercises 2124, find the mean and median for...Ch. 3.1 - Prob. 23BSCCh. 3.1 - In Exercises 2124, find the mean and median for...Ch. 3.1 - Prob. 25BSCCh. 3.1 - Prob. 26BSCCh. 3.1 - Prob. 27BSCCh. 3.1 - Prob. 28BSCCh. 3.1 - Prob. 29BSCCh. 3.1 - In Exercises 2932, find the mean of the data...Ch. 3.1 - Prob. 31BSCCh. 3.1 - Prob. 32BSCCh. 3.1 - Prob. 33BSCCh. 3.1 - Prob. 34BSCCh. 3.1 - Prob. 35BBCh. 3.1 - Prob. 36BBCh. 3.1 - Trimmed Mean Because the mean is very sensitive to...Ch. 3.1 - Prob. 38BBCh. 3.1 - Prob. 39BBCh. 3.1 - Prob. 40BBCh. 3.1 - Prob. 41BBCh. 3.2 - Range Rule of Thumb for Estimating s The 20 brain...Ch. 3.2 - Range Rule of Thumb for Interpreting s The 20...Ch. 3.2 - Variance The 20 subjects used in Data Set 8 IQ and...Ch. 3.2 - Symbols Identify the symbols used for each of the...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - Prob. 9BSCCh. 3.2 - Prob. 10BSCCh. 3.2 - Prob. 11BSCCh. 3.2 - Prob. 12BSCCh. 3.2 - Prob. 13BSCCh. 3.2 - Prob. 14BSCCh. 3.2 - Prob. 15BSCCh. 3.2 - Prob. 16BSCCh. 3.2 - Prob. 17BSCCh. 3.2 - Prob. 18BSCCh. 3.2 - Prob. 19BSCCh. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - Prob. 21BSCCh. 3.2 - In Exercises 2124, find the coefficient of...Ch. 3.2 - Prob. 23BSCCh. 3.2 - Prob. 24BSCCh. 3.2 - Prob. 25BSCCh. 3.2 - Prob. 26BSCCh. 3.2 - Prob. 27BSCCh. 3.2 - Prob. 28BSCCh. 3.2 - Prob. 29BSCCh. 3.2 - Prob. 30BSCCh. 3.2 - Prob. 31BSCCh. 3.2 - Prob. 32BSCCh. 3.2 - Prob. 33BSCCh. 3.2 - Prob. 34BSCCh. 3.2 - Prob. 35BSCCh. 3.2 - Prob. 36BSCCh. 3.2 - Prob. 37BSCCh. 3.2 - Prob. 38BSCCh. 3.2 - Finding Standard Deviation from a Frequency...Ch. 3.2 - Prob. 40BSCCh. 3.2 - Prob. 41BSCCh. 3.2 - Prob. 42BSCCh. 3.2 - Prob. 43BSCCh. 3.2 - Chebyshevs Theorem Based on Data Set 3 Body...Ch. 3.2 - Prob. 45BBCh. 3.2 - Prob. 46BBCh. 3.3 - z Scores LeBron James, one of the most successful...Ch. 3.3 - Heights The boxplot shown below results from the...Ch. 3.3 - Boxplot Comparison Refer to the boxplots shown...Ch. 3.3 - z Scores If your score on your next statistics...Ch. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - Prob. 7BSCCh. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - Significant Values. In Exercises 9-12, consider a...Ch. 3.3 - Prob. 10BSCCh. 3.3 - Prob. 11BSCCh. 3.3 - Prob. 12BSCCh. 3.3 - Comparing Values. In Exercises 13-16, use z scores...Ch. 3.3 - Comparing Values. In Exercises 13-16, use z scores...Ch. 3.3 - Prob. 15BSCCh. 3.3 - Prob. 16BSCCh. 3.3 - Prob. 17BSCCh. 3.3 - Prob. 18BSCCh. 3.3 - Percentiles. In Exercises 1720, use the following...Ch. 3.3 - Prob. 20BSCCh. 3.3 - Prob. 21BSCCh. 3.3 - In Exercises 2128, use the same list of Sprint...Ch. 3.3 - In Exercises 2128, use the same list of Sprint...Ch. 3.3 - Prob. 24BSCCh. 3.3 - Prob. 25BSCCh. 3.3 - Prob. 26BSCCh. 3.3 - Prob. 27BSCCh. 3.3 - Prob. 28BSCCh. 3.3 - Boxplots. In Exercises 2932, use the given data to...Ch. 3.3 - Boxplots. In Exercises 2932, use the given data to...Ch. 3.3 - Prob. 31BSCCh. 3.3 - Prob. 32BSCCh. 3.3 - Boxplots from Large Data Sets in Appendix B. In...Ch. 3.3 - Prob. 34BSCCh. 3.3 - Boxplots from Large Data Sets in Appendix B. In...Ch. 3.3 - Prob. 36BSCCh. 3.3 - Prob. 37BBCh. 3 - Prob. 1CQQCh. 3 - Sleep Median What is the median of the sample...Ch. 3 - Prob. 3CQQCh. 3 - Prob. 4CQQCh. 3 - Prob. 5CQQCh. 3 - Prob. 6CQQCh. 3 - Prob. 7CQQCh. 3 - Prob. 8CQQCh. 3 - Prob. 9CQQCh. 3 - Prob. 10CQQCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Normal Distribution Examine the distribution shown...Ch. 3 - Words Spoken by Men and Women Refer to Data Set 24...Ch. 3 - Prob. 1FDD
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- In 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_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 2 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 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_forwardA 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. Duration of Call x f(x) 1 2 3 4 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_forward
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