SOLUTION: Suppose that at UVA, 73% of all undergraduates are in the College, 12% are in Engineering, 7% are in Commerce, 3% are in Nursing, and 5% are in Architecture. In each school, the pe

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that at UVA, 73% of all undergraduates are in the College, 12% are in Engineering, 7% are in Commerce, 3% are in Nursing, and 5% are in Architecture. In each school, the pe      Log On


   

Question 906303: Suppose that at UVA, 73% of all undergraduates are in the College, 12% are in Engineering, 7% are in Commerce, 3% are in Nursing, and 5% are in Architecture. In each school, the percentage of females is as follows: 56% in the College, 25% in Engineering, 49% in Commerce, 89% in Nursing, and 33% in Architecture. If a randomly selected student is male, what is the probability that he's from the College?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P(male) = 1 - (.73*.56 + .12*.25 + + .07*49 + .03*.89 + .05*.33) substitute below
P(A|B) = P(A and B)/P(B)
P(College|Male) = .73*.44/p(male) calculated above