Survey of magazine subscribers show that 45.3% rented a car doing the past 12 mo
ID: 3273477 • Letter: S
Question
Survey of magazine subscribers show that 45.3% rented a car doing the past 12 months Video A survey of magazine subscribers showed that 45.3% rented a ar dunng the past 12 months for busness reasons, 55% rented a car during the past 12 months for personal reasons, and 20% rented a car dunng 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 subsoriber did not rent a car during the past 12 months for either business or personal reasons? Check My Work (2 remaining) 902 PM 9/11/2017Explanation / Answer
Probability that car is rented for business reason, P(A) = 0.453
Probability that car is rented for personal reason, P(B) = 0.55
Probability that car is rented for both business and personal reason, P(A and B) = 0.2
(a) Probability that car is rented for either business or personal reason,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.453 + 0.55 - 0.2 = 0.803
(b) Probability that a car is rented neither business nor personal reason = 1 - P(A or B) = 1 - 0.803 = 0.197
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