A gambler plays n hands of poker. If he wins the kth hand, he collects k dollars;

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A gambler plays n hands of poker. If he wins the kth hand, he collects k dollars; if he loses the kth hand, he collects nothing. Let T denote his total winnings in n hands. Assuming that his chances of winning each hand are constant and independent of his success or failure at any other hand, find E(T) and Var(T).
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