In general what must be true for two events be both, Electrical Engineering

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In general what must be true for two events be both

Two events, A and B, have 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 be both statistically independent and mutually exclusive?

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