Let A1, A2, and A3 be events with probabilities 1/5, 1/4, and1/3 resp.Let N be t

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Let A1, A2, and A3 be events with probabilities 1/5, 1/4, and1/3 resp.Let N be the number of these events? Let A1, A2, and A3 be events with probabilities 1/5, 1/4, and1/3 resp.Let N be the number of these events that occur. a) write down a formula for N in terms of indicators. b) Find E(N). in each case of the following cases, calculate Var(N): c) AA1,A2,A3 are disjoint. d) they are independent; e) A1 is the subset of A2 is the subset of A3. Let A1, A2, and A3 be events with probabilities 1/5, 1/4, and1/3 resp.Let N be the number of these events? Let A1, A2, and A3 be events with probabilities 1/5, 1/4, and1/3 resp.Let N be the number of these events that occur. a) write down a formula for N in terms of indicators. b) Find E(N). in each case of the following cases, calculate Var(N): c) AA1,A2,A3 are disjoint. d) they are independent; e) A1 is the subset of A2 is the subset of A3.

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