In a study to determine frequency and dependency of color blindness relative to

Question

In a study to determine frequency and dependency of color blindness relative to females and males, 1000 people were chosen at random and the following result were recorded: Convert the table to a probability table by dividing each entry by 1000. What is the probability that a person is a woman, given that the person is color-blind? What is the probability that a person is color-blind, given that the person is a male? Are the events color-blindness and male independent? Are the events color-blindness and female independent?

Explanation / Answer

b)

This is the entry the row Color Blind and column Female

Hence probability is 2/26=1/13

c)

From table we see that in all males ,

there are:

24 color blinds out of 480 males

Hence probability is: 24/480=1/20

(d)

Probability of being color blind ,P1=0.026

Probabiliyt of being male,P2=0.48

Probabity of being male and color blind ,P3=1/20=0.05

P1*P2=0.026*0.48=0.0125

Hence events are not independent.

e)

Probability of being color blind, P1=0.026

Probabiliyt of being female, P2=0.52

Probability of being female and color blind, P3=0.002

P1*P2=0.01352

Hence, the two events are not independent.

Female(F) Male(F) Total Color Blind(C) 0.002 0.024 0.026 Normal(C) 0.518 0.456 0.974 Total 0.520 0.480 1

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