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A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 30% rented a car during the past 12 months for both business and personal reasons. a. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons? b. What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons?

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 4.3, Problem 28E
Textbook Problem
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A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 30% rented a car during the past 12 months for both business and personal reasons.

  1. a. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons?
  2. b. What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons?

a.

To determine

Compute the probability that a subscriber rented a car during the past 12 months for business or personal reasons.

Explanation of Solution

Calculation:

The given information is about there is about 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons and 30% rented a car during the past 12 months for business and personal reasons.

The Addition Law:

For any two events A and B then the addition law is given by,

P(AB)=P(A)+P(B)P(AB).

Event A denotes that rented a car during the past 12 months for business reasons, B denote that rented a car during the past 12 months for personal reasons.

Here, P(A)=45

b.

To determine

Compute the probability that a subscriber did not rent a car during the past 12 months for business or personal reasons.

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Chapter 4 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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