Estimates of the prevalence of Alzheimer’s disease are given in Table below. Suppose an unrelated 77-year-old man, 76-year-old woman, and 82-year-old woman are selected from a community. Table 1 Prevalence of Alzheimer's disease (cases per 100 population) Age group Males Females 65-69 1.6 0.0 70-74 0.0 2.2 75-79 4.9 2.3 80-84 8.6 7.8 85+ 35.0 27.9 What is the probability that exactly one of the three people has Alzheimer’s disease? Suppose we know one of the three people has Alzheimer’s disease, but we don’t know which one. What is the conditional probability that the affected person is a woman? Suppose we know two of the three people have Alzheimer’s disease. What is the conditional probability that they are both women?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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  1. Estimates of the prevalence of Alzheimer’s disease are given in Table below. Suppose an unrelated 77-year-old man, 76-year-old woman, and 82-year-old woman are selected from a community.

Table 1 Prevalence of Alzheimer's disease (cases per 100 population)

Age group

Males

Females

65-69

1.6

0.0

70-74

0.0

2.2

75-79

4.9

2.3

80-84

8.6

7.8

85+

35.0

27.9

    1. What is the probability that exactly one of the three people has Alzheimer’s disease?
    2. Suppose we know one of the three people has Alzheimer’s disease, but we don’t know which one. What is the conditional probability that the affected person is a woman?
    3. Suppose we know two of the three people have Alzheimer’s disease. What is the conditional probability that they are both women?
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