Question: Suppose the events B1 and B2 are mutually exclusive and complementary events, such that P(B1) = .75 and P(B2) = .25. Consider another event A

Suppose the events B1 and B2 are mutually exclusive and complementary events, such that P(B1) = .75 and P(B2) = .25. Consider another event A such that P(A|B1) = .3 and P(A|B2) = .5.
a. Find P(B1 ∩ A).
b. Find P(B2 ∩ A).
c. Find P(A) using the results in parts a and b.
d. Find P(B1|A).
e. Find P(B2|A).

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