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 State. Assume that these proportions are representative of adults in the United States and that a U.S. adult is selected at random. Male Female .10 .195 Uses Seat Belts Regularly Does Not Use Seat Belts Regularly 38 .325 (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 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.) (d) What is the probability that the selected individual is female given that the selected individual does not use a seat belt regularly? (Give the answer to three decimal places.) (e) Are the probabilities from Parts (c) and (d) equal? Yes No

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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6.4.5

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.
Male Female
Uses Seat Belts Regularly
.10
.195
Does Not Use Seat Belts Regularly .38 .325
(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.)
(d) What is the probability that the selected individual is female given that the selected individual does not use a seat belt regularly? (Give the answer to three decimal places.)
(e) Are the probabilities from Parts (c) and (d) equal?
Yes
Ο No
Transcribed Image Text: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. Male Female Uses Seat Belts Regularly .10 .195 Does Not Use Seat Belts Regularly .38 .325 (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.) (d) What is the probability that the selected individual is female given that the selected individual does not use a seat belt regularly? (Give the answer to three decimal places.) (e) Are the probabilities from Parts (c) and (d) equal? Yes Ο No
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