Question: Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied by the constant c,

Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c2. That is, show that (cX) = cE (X) and V(cX) = c2V(X).

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