SOLUTION: Suppose that at UVA, 72% of all undergraduates are in the College, 13% are in Engineering, 8% are in Commerce, 3% are in Nursing, and 4% are in Architecture. In each school, the pe

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that at UVA, 72% of all undergraduates are in the College, 13% are in Engineering, 8% are in Commerce, 3% are in Nursing, and 4% are in Architecture. In each school, the pe      Log On


   

Question 903988: Suppose that at UVA, 72% of all undergraduates are in the College, 13% are in Engineering, 8% are in Commerce, 3% are in Nursing, and 4% are in Architecture. In each school, the percentage of females is as follows: 57% in the College, 26% in Engineering, 47% in Commerce, 89% in Nursing, and 35% 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 - (.72*57 + .13*.26 + + .08*47 + .03*.89 + .04*.35) substitute below
P(A|B) = P(A and B)/P(B)
P(College|Male) = %28.72%2A.43%29%2FP%28male%29