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mer's disease? at is the probability that at lea Alahaim dinoong

mer's disease? at is the probability that at lea Alahaim dinoong

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please only answer 3.18
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
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
Introduction

Probability deals with the likelihood that a random event will occur.

There are four law of probability 

  • Law of addition : P(A∪B)= P(A)+P(B)–P(A∩B)
  • Law of multiplication : P(A∩B)=P(A)× P(B)
  • law of complement : P(Ac)=1-P(A)
  • The sum of the probabilities of all possible outcomes is 1.

 

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