Question

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. 12=2*6 points.

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?

Answer 1

(a) 0.698

(b) 0.302

Step-by-step explanation:

(a) Probability that a subscriber rented a car during the past 12 months for business or personal reasons:

= Rented car during the past 12 months for business reasons + rented a car during the past 12 months for personal reasons - rented a car during the past 12 months for both business and personal reasons

= 0.458 + 0.54 - 0.30

= 0.698

(b) Probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons:

= 1 - Probability that a subscriber rented a car during the past 12 months for business or personal reasons

= 1 - 0.698

= 0.302