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Problem #4: (10pts) Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied

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Problem #4: (10pts) 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 c. That is, show that: E[CX] = CE[X] and Var[CX] = cVar[X]

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