# Question: In a report titled Behavioral Risk Factor Surveillance System Summary

In a report titled Behavioral Risk Factor Surveillance System Summary Prevalence Report, the Centers for Disease Control and Prevention discusses the prevalence of diabetes in the United States. The following frequency distribution provides a diabetes prevalence frequency distribution for the 50 U.S. states.

Diabetes (%) Frequency

4–under 5 ........ 8

5–under 6 ........ 10

6–under 7 ........ 15

7–under 8 ........ 10

8–under 9 ........ 5

9–under 10 ........ 1

10–under 11 ....... 1

For a randomly selected state, let

A = event that the state has a diabetes prevalence percentage of at least 8%,

B = event that the state has a diabetes prevalence percentage of less than 7%,

C = event that the state has a diabetes prevalence percentage of at least 5% but less than 10%, and

D = event that the state has a diabetes prevalence percentage of less than 9%.

Describe each of the following events in words and determine the number of outcomes (states) that constitute each event.

a. (not C)

b. (A & B)

c. (C or D)

d. (C & B)

Diabetes (%) Frequency

4–under 5 ........ 8

5–under 6 ........ 10

6–under 7 ........ 15

7–under 8 ........ 10

8–under 9 ........ 5

9–under 10 ........ 1

10–under 11 ....... 1

For a randomly selected state, let

A = event that the state has a diabetes prevalence percentage of at least 8%,

B = event that the state has a diabetes prevalence percentage of less than 7%,

C = event that the state has a diabetes prevalence percentage of at least 5% but less than 10%, and

D = event that the state has a diabetes prevalence percentage of less than 9%.

Describe each of the following events in words and determine the number of outcomes (states) that constitute each event.

a. (not C)

b. (A & B)

c. (C or D)

d. (C & B)

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