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Suppose we toss a biased coin independently until a random time N independent of the outcomes...

Suppose we toss a biased coin independently until a random time N independent of the outcomes of the tosses. Where N takes values 1,2,3 with probability 0.3, 0.5, 0.2. Find E(X1 + ··· XN) where Xi = 1 if head-on i th toss with probability 0.55 and zero otherwise, (for i = 1, ··· , N).

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