Question: ) Let X be a nonnegative integer-valued random variable, i.e., it takes values in {0, 1, 2, ...}. Show that E[X] = P k=1 P(X

) Let X be a nonnegative integer-valued random variable, i.e., it takes values in {0, 1, 2, ...}. Show that E[X] = P k=1 P(X k) b) Assume now that X Geom(1/3), use the formula from (a) to calculate E[X].

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