Question: Let X Unif(a, b). Suppose Y is a linear function of X. That is Y = mX + n. Where m and n are

Let X ∼ Unif(a, b). Suppose Y is a linear function of X. That is Y = mX + n. Where m and n are constants. Assume also that m > 0. Show that Y is uniformly distributed on the interval (ma + n, mb + n).

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