Mental Health Estimates of the prevalence of Alzheimer’s disease have recently been provided by Pfeffer et al. [8]. The estimates are given in Table 3.5. Suppose an unrelated 77-year-old man, 76-year-old woman, and 82-year-old woman are selected from a community. 3.16 What is the probability that all three of these individuals have Alzheimer’s disease? 3.17 What is the probability that at least one of the women has Alzheimer’s disease? 3.18 What is the probability that at least one of the three people has Alzheimer’s disease? 3.19 What is the probability that exactly one of the three people has Alzheimer’s disease? 3.20 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? 3.21 Suppose we know two of the three people have Alzheimer’s disease. What is the conditional probability that they are both women? 3.22 Suppose we know two of the three people have Alzheimer’s disease. What is the conditional probability that they are both younger than 80 years of age? tablE 3.5 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

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Mental Health
Estimates of the prevalence of Alzheimer’s disease have
recently been provided by Pfeffer et al. [8]. The estimates
are given in Table 3.5.
Suppose an unrelated 77-year-old man, 76-year-old
woman, and 82-year-old woman are selected from a community.
3.16 What is the probability that all three of these individuals have Alzheimer’s disease?
3.17 What is the probability that at least one of the women
has Alzheimer’s disease?
3.18 What is the probability that at least one of the three
people has Alzheimer’s disease?
3.19 What is the probability that exactly one of the three
people has Alzheimer’s disease?
3.20 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?
3.21 Suppose we know two of the three people have
Alzheimer’s disease. What is the conditional probability that
they are both women?
3.22 Suppose we know two of the three people have
Alzheimer’s disease. What is the conditional probability that
they are both younger than 80 years of age?
tablE 3.5 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

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