Explanation Given: The table gives proportions of people over age 15 in the U.S. population and proportions of people who live alone in a recent year. Age Proportion of population age 15 or higher Proportion of people living alone 15 − 24 .173 .034 25 − 34 .170 .100 35 − 44 .163 .089 45 − 64 .332 .152 65 and higher .161 .289 Formula Used: P ( B | A ) = P ( B ) ⋅ P ( A | B ) P ( B ) ⋅ P ( A | B ) + P ( B ′ ) ⋅ P ( A | B ′ ) It is known as Bayes Formula. Calculation: Let P 1 be the event where person age is 15 − 24 , similarly for other age group event be P 2 , P 3 , P 4 , and P 5 . And let A be the event that person lives alone then, P ( A | P 1 ) = 0.034 P ( A | P 2 ) = 0.100 P ( A | P 3 ) = 0.089 The probability of randomly selected people whose age is between 45 and 64 given that person lives alone will be P ( P 4 | A )

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 8.6, Problem 31E

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To calculate: the probability that a randomly selected person age 15 or older who lives alone is between the ages of 45−64.

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Chapter 8.6, Problem 30E

Chapter 8.6, Problem 32E

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Chapter 8 Solutions

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 8.1 - Checkpoint 1 Indicate whether each statement is...Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Checkpoint 5 Find the number of subsets for each...Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

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the probability that a randomly selected person age 15 or older who lives alone is between the ages of 45 − 64 .

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To calculate: the probability that a randomly selected person age 15 or older who lives alone is between the ages of 45−64.

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Chapter 8 Solutions