The n candidates for a job have been ranked 1, 2, 3, . . . , n.

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The n candidates for a job have been ranked 1, 2, 3, . . . , n.

Let of a randomly selected candidate, so that X has pmf

(this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is , whereas the sum of their squares is .]

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