Color blindness is a genetic disorder that results in a lack of color vision. Su

Question

Color blindness is a genetic disorder that results in a lack of color vision. Suppose we randomly choose an individual from the population. Let C be the event 'individual is color-blind' and M be the event "individual is male." (a) Interpret the quantity P(M Union C). P (M Union C) is the probability of obtaining an individual who is male color-blind (b) Interpret the quantity P (M intersection C). P (M intersection C) is the probability of obtaining an individual who is male color-blind (c) It is estimated that P(M Union C) = 0.56 and P (M intersection C) = 0.07 If males make up 50 percent of the population, what is the probability that the randomly chosen individual is color-blind?

Explanation / Answer

a. P(MuC) interprets that P(MuC) is probability of obtaining an individual who is male or color blind

b. P(MnC) is probability of obtaining an individual who is make and color blind

c. We will use Bayes theorem P(MuC)=P(M)+P(C)-P(Mnc)

So P(C)=P(Muc)-P(M)+P(MnC)=0.56-0.50+0.07=0.13

So probability of chose a blind person is 0.13

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