Question: Given P(A) = 0.40, P(B) = 0.25, P(C) = 0.35, P(B | A) = 0.25 and P(A | C) = 0.80, solve the following. (a)

Given P(A) = 0.40, P(B) = 0.25, P(C) = 0.35, P(B | A) = 0.25 and P(A | C) = 0.80, solve the following.

(a) P(A ∩ B) = __________

(b) P(A ∩ C) = __________

(c) If A and B are independent, P(A ∩ B) = __________

(d) If A and C are independent, P(A ∩ C) = __________

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