Homework Answers
Answer :
Given data is :
P(Women) = 51.4% = 0.514
P(Men) = 1 - P(Women)
= 1 - 0.514
= 0.486
Here D = Depression
ND = Not Depression
W = Women
M = Men
Now,
P(D / W) = 14.3% = 0.143
P(ND / W) = 1 - P(D / W) = 1 - 0.143 = 0.587
P(D / M) = 9.3% = 0.93
P(ND / M) = 1 - 0.093 = 0.907
Here we need to find the probability that the person is a man who does not suffer from depression is :
= 
= 0.486 * 0.907
= 0.4408
~ 0.441
Option D is correct
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