Suppose that 5 percent of men and 0.25 percent of women

Chapter 3, Problem 26P

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QUESTION:

Problem 26P

Suppose that 5 percent of men and 0.25 percent of women are color blind. A color-blind person is chosen at random. What is the probability of this person being male? Assume that there are an equal number of males and females. What if the population consisted of twice as many males as females?

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QUESTION:

Problem 26P

Suppose that 5 percent of men and 0.25 percent of women are color blind. A color-blind person is chosen at random. What is the probability of this person being male? Assume that there are an equal number of males and females. What if the population consisted of twice as many males as females?

ANSWER:

Step 1 of 3

Let us consider a random variable X presents the colour blind person. And we have 5 percent of men and 0.25 percent of women are color blind. Also we have P(CB|M) = 0.05,

P(CB|W) = 0.0025, P(M) = 0.5, and P(W) = 0.5.  

We need to find the probability of this person being male. Also we have to check What if the population consisted of twice as many males as females.

 

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