A survey of magazine subscribers showed that 45.5% rented a car during the past 12 months for business reasons, 58% 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. Round your answers to three decimal places. 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?
P( business reasons) = 0.455, P( Personal reasons) = 0.58
P( Both business and personal reasons) = 0.30
a)
P( business or personal reasons) = ?
Using conditional probability formula, p(A or B) = P(A) + P(B) - P( A and B)
P( business or personal reasons) = P( Business reason) + P( Personal reasons)
- P( business and personal reasons)
= 0.455 + 0.58 - 0.30
= 0.735
P( business or personal reasons) = 0.735
b)
P(Did not rent car for either business or personal reasons) = P(Neither Business of personal reasons)
= 1 - P( business or personal reasons)
= 1 - 0.735
= 0.265
Get Answers For Free
Most questions answered within 1 hours.