Question

In: Statistics and Probability

Let A and B be events with P(A) = 0.5, P(Bc ) = 0.4, P(Ac ∩...

Let A and B be events with P(A) = 0.5, P(Bc ) = 0.4, P(Ac ∩ Bc ) = 0.3.

(a) Calculate P(A ∪ B), P(A ∩ B), P(B|(A ∪ B)), and P(Ac |B).

b) Are A and B independent? Explain why.

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