Let A be an event, and let IA be the associated indicator random variable: IA(w)=1 if...
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Let A be an event, and let IA be the associated indicator random variable: IA(w)=1 if wEA, and IA(w)=0 if WEA. Similarly, let IB be the indicator of another event, B. Suppose that, P(A)=p, P(B)=q, and P(AUB)=r. 1. Find E[(IA-IB)2] in terms of p,q,r? 1. 2.Determine Var(IA-IB) in terms of p,q,r? Let A be an event, and let IA be the associated indicator random variable: IA(w)=1 if wEA, and IA(w)=0 if WEA. Similarly, let IB be the indicator of another event, B. Suppose that, P(A)=p, P(B)=q, and P(AUB)=r. 1. Find E[(IA-IB)2] in terms of p,q,r? 1. 2.Determine Var(IA-IB) in terms of p,q,r?
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