Question: Suppose that P(A) = .3 and P(B) = .4. a. If P(A B) = .12 are A and B independent? Justify your answer. b.

Suppose that P(A) = .3 and P(B) = .4.
a. If P(A ∩ B) = .12 are A and B independent? Justify your answer.
b. If P(A ∪ B)  .7 what is P(A ∩ B)? Justify your answer.
c. If A and B are independent, what is P(A | B)?
d. If A and B are mutually exclusive, what is P(A | B)?

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