Question: Three events A, B, C have probabilities P(A) = 0.4 , P(B) = 0.3 , P(C) = c . It is known that A and

Three events A, B, C have probabilities P(A) = 0.4 , P(B) = 0.3 , P(C) = c . It is known that A and B are independent and the two events A B and C form a partition. a) Determine c. b) Calculate P(AB), P(A0B), P(exactly one of the two events occurs) c) Calculate E[X], where X is the number of events that occur.

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