Question: Suppose P(A) = .1 and P(B) = .5. a. If P(A | B) = .1, what is P(A B)? b. If P(A | B)

Suppose P(A) = .1 and P(B) = .5.
a. If P(A | B) = .1, what is P(A ∩ B)?
b. If P(A | B) = .1, are A and B independent?
c. If P(A ∩ B) = 0, are A and B independent?
d. If P(A ∪ B) = .65, are A and B mutually exclusive?

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