Answer
Let lactose Tolerance = L, White = W, Black = B & Asian = A.
From the given data we have:
P(L|W) = 0.15
P(L|B) = 0.7
P(L|A) = 0.9
P(L) = P(L∩W) + P(L∩B) + P(L∩A)
= P(L|W)P(W) + P(L|B)P(B) + P(L|A)P(A)
= (0.15 x 0.82) + (0.7 x 0.14) + (0.9 x 0.04)
= 0.257
Work Step by Step
Let lactose Tolerance = L, White = W, Black = B & Asian = A.
From the given data we have:
P(L|W) = 0.15
P(L|B) = 0.7
P(L|A) = 0.9
P(L) = P(L∩W) + P(L∩B) + P(L∩A)
= P(L|W)P(W) + P(L|B)P(B) + P(L|A)P(A)
= (0.15 x 0.82) + (0.7 x 0.14) + (0.9 x 0.04)
= 0.257
