Question: Let A be an event, and let I A (w) = 1 if w is a subset of A and I A (w) = 0

Let A be an event, and let IA(w) = 1 if w is a subset of A and IA(w) = 0 if w is not a subset of A.

Similarly, let IB be the indicator of another event, B. Suppose that, P(A) = p, P(B) = q and P(AUB) = r

a) Find E[(IA - IB)2] in terms of p,q,r.

b) Determine (IA - IB) in terms of p,q,r.

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