Question: Two events, A and B, have respective marginal probabilities P (A) = 0.2 and P(B) = 0.5, respectively. Their joint probability is P (A

Two events, A and B, have respective marginal probabilities P (A) = 0.2 and P(B) = 0.5, respectively. Their joint probability is P (A ∩ B) = 0.4.

(a) Are they statistically independent? Why or why not?
(b) What is the probability of A or B or both occurring?

(c) In general, what must be true for two events to be both statistically independent and mutually exclusive?

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