3.19 What is the probability that exactly 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please only answer 3.19
![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 com-
munity.
3.16 What is the probability that all three of these individu-
als 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
Age group
65-69
70-74
75-79
80-84
85+
Prevalence of Alzheimer's disease
(cases per 100 population)
Males
1.6
0.0
4.9
8.6
35.0
Females
0.0
2.2
2.3
7.8
27.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03210149-7bd1-493b-9cd1-96815f185546%2Fbc2c76b1-c356-447c-ab37-2067fa57cfe3%2Fsj4ghp_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 com-
munity.
3.16 What is the probability that all three of these individu-
als 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
Age group
65-69
70-74
75-79
80-84
85+
Prevalence of Alzheimer's disease
(cases per 100 population)
Males
1.6
0.0
4.9
8.6
35.0
Females
0.0
2.2
2.3
7.8
27.9
Expert Solution
Step 1
Given that, estimates of the prevalence of Alzheimer's disease have been recently provided by Pfeffer et al. [8]. Using the given data we need to find the probability that exactly one the three people selected has Alzheimer's Diseases.
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