6.40. USA Today (June 6, 2000) gave information on seat belt usage by gender. 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 .10 .175 Regularly Does Not Use Seat 40 325 Belts Regularly Assume that these proportions are representative of adult Americans and that an adult American is selected at random. a. What is the probability that the selected adult regularly uses a seat belt? https://ng.cengage.com/static/nbreader/ui/apps/nbr b. What is the probability that the selected adult regularly uses a seat belt given that the individual selected is male? c. What is the probability that the selected adult does not use a seat belt regularly given that the selected individual is female?

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**Seat Belt Usage by Gender**

A report from *USA Today* (June 6, 2000) provided data on seat belt usage by gender. Based on a survey of a large number of adult men and women in the United States, the proportions are displayed in the table below:

|                     | Male | Female |
|---------------------|------|--------|
| Uses Seat Belts Regularly   | 0.10 | 0.175  |
| Does Not Use Seat Belts Regularly | 0.40 | 0.325  |

Assuming these proportions represent adult Americans, consider an adult selected at random:

a. **What is the probability that the selected adult regularly uses a seat belt?**

b. **What is the probability that the selected adult regularly uses a seat belt given that the individual selected is male?**

c. **What is the probability that the selected adult does not use a seat belt regularly given that the selected individual is female?**

d. **What is the probability that the selected individual is female given that the individual does not use a seat belt regularly?**

e. **Are the probabilities from parts (c) and (d) equal? Write a couple of sentences explaining why this is so.**

This exercise involves interpreting statistical data, calculating probabilities, and understanding gender-related trends in seat belt usage.
Transcribed Image Text:**Seat Belt Usage by Gender** A report from *USA Today* (June 6, 2000) provided data on seat belt usage by gender. Based on a survey of a large number of adult men and women in the United States, the proportions are displayed in the table below: | | Male | Female | |---------------------|------|--------| | Uses Seat Belts Regularly | 0.10 | 0.175 | | Does Not Use Seat Belts Regularly | 0.40 | 0.325 | Assuming these proportions represent adult Americans, consider an adult selected at random: a. **What is the probability that the selected adult regularly uses a seat belt?** b. **What is the probability that the selected adult regularly uses a seat belt given that the individual selected is male?** c. **What is the probability that the selected adult does not use a seat belt regularly given that the selected individual is female?** d. **What is the probability that the selected individual is female given that the individual does not use a seat belt regularly?** e. **Are the probabilities from parts (c) and (d) equal? Write a couple of sentences explaining why this is so.** This exercise involves interpreting statistical data, calculating probabilities, and understanding gender-related trends in seat belt usage.
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