Question: Let X be a random variable that takes only non-negative integer values. Then show that E(X) = +X i=1 P (X i)Let X and Y

Let X be a random variable that takes only non-negative integer values. Then show that E(X) = +X i=1 P (X i)Let X and Y be 2 independent r.v.'s that each follow a Geometric law of parameter p. 1. Find the distribution of min(X, Y ) (hint: use the cdf). 2. Find P (min(X, Y ) = X) (i.e. P (Y X))

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