The information on seat belt usage by gender shown below. The proportions in the

Question

The information on seat belt usage by gender shown below. The proportions in the following table are based on a survey of a large number of adult men and women in the United States. Assume that these proportions are representative of adults in the United States and that a U.S. adult is selected at random.

(a) What is the probability that the selected adult regularly uses a seat belt? (Give the answer to three decimal places.)


(b) What is the probability that the selected adult regularly uses a seat belt given that the individual selected is male? (Give the answer to three decimal places.)


(c) What is the probability that the selected adult does not use a seat belt regularly given that the selected individual is female? (Give the answer to three decimal places.)

Explanation / Answer

a) probability that the selected adult regularly uses a seat belt = (10+175)/(10+175+40+325)

= 185 / 550 =0.3364

b)the probability that the selected adult regularly uses a seat belt given that the individual selected is male = 10/(10+40) = 0.2

c)What is the probability that the selected adult does not use seat belt regularly given that the selected individual is female

= 325/(325+175) = 325/500 = 0.650

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