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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
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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