Chapter 4.2, Problem 61E

Diabetes Prevalence. 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 table provides a diabetes-prevalence frequency distribution for the 50 U.S. states based on the question “Have you ever been told by a doctor that you have diabetes?”

Diabetes (%)	Frequency
5–under 6	1
6–under 7	5
7–under 8	13
8–under 9	10
9–under 10	9
10–under 11	8
11–under 12	2
12–under 13	1
13–under 14	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 6% but less than 13%, 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.

1. a. (not C)
2. b. (A & B)
3. c. (C or D)
4. d. (C & B)