(a) Explanation Given: The probability of U.S resident earns less than $20,000 a year (event C) is 0.192. The probability of U.S resident lives in rented home (event D) is 0.354. The probability of U.S resident earns less than $20,000 a year and the probability of U.S resident lives in a rented home is 0.119. Calculation: Consider the Venn diagram shown below: P ( C ) = 0.192 P ( D ) = 0.354 P ( C ∩ D ) = 0.119 To find value of P ( C ∪ D ) , use the following formula: P ( C ∪ D ) = P ( C ) + P (b) To determine To calculate: The probability P ( C ∩ D ' ) . (c) To determine To calculate: The probability P ( C ' ∩ D ' ) . (d) To determine To calculate: The probability P ( C ' ∪ D ' ) .

Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (11th Edition)

11th Edition

ISBN: 9780321935441

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

Publisher: PEARSON

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Question

Chapter 8.4, Problem 20E

(a)

To determine

To calculate: The probability P(C∪D).

(b)

To determine

To calculate: The probability P(C∩D').

(c)

To determine

To calculate: The probability P(C'∩D').

(d)

To determine

To calculate: The probability P(C'∪D').

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Chapter 8.4, Problem 19E

Chapter 8.4, Problem 21E

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Chapter 8 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (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 P ( C ∪ D ) .

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To calculate: The probability P(C∪D).

To calculate: The probability P(C∩D').

To calculate: The probability P(C'∩D').

To calculate: The probability P(C'∪D').

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Chapter 8 Solutions