USA Today (June 6, 2000) gave information on seat belt usage by gender[1]. The proportions in the following table are based on a survey of a large number of adult men and women in the United States. Male Female Uses Seat Belts regularly 0.1 0.2 Does not use Seat Belts regularly 0.4 0.3 Assume that these proportions are representative of adult Americans and that an adult American is selected at random. What is the probability that the selected adult regularly uses a seat belt? What is the probability that the selected adult does not use a seat belt regularly given that the individual selected is male? What is the probability that the selected adult regularly uses a seat belt given that the selected individual is female? What is the probability that the selected individual is female given that the selected individual regularly uses a seat belt? Are the probabilities from Parts (c) and (d) equal? Write a couple of sentences explaining why this is so.
USA Today (June 6, 2000) gave information on seat belt usage by gender[1]. The proportions in the following table are based on a survey of a large number of adult men and women in the United States. Male Female Uses Seat Belts regularly 0.1 0.2 Does not use Seat Belts regularly 0.4 0.3 Assume that these proportions are representative of adult Americans and that an adult American is selected at random. What is the probability that the selected adult regularly uses a seat belt? What is the probability that the selected adult does not use a seat belt regularly given that the individual selected is male? What is the probability that the selected adult regularly uses a seat belt given that the selected individual is female? What is the probability that the selected individual is female given that the selected individual regularly uses a seat belt? Are the probabilities from Parts (c) and (d) equal? Write a couple of sentences explaining why this is so.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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USA Today (June 6, 2000) gave information on seat belt usage by gender[1]. The proportions in the following table are based on a survey of a large number of adult men and women in the United States.
|
|
Male |
Female |
|
Uses Seat Belts regularly |
0.1 |
0.2 |
|
Does not use Seat Belts regularly |
0.4 |
0.3 |
Assume that these proportions are representative of adult Americans and that an adult American is selected at random.
- What is the probability that the selected adult regularly uses a seat belt?
- What is the probability that the selected adult does not use a seat belt regularly given that the individual selected is male?
- What is the probability that the selected adult regularly uses a seat belt given that the selected individual is female?
- What is the probability that the selected individual is female given that the selected individual regularly uses a seat belt?
- Are the probabilities from Parts (c) and (d) equal? Write a couple of sentences explaining why this is so.
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