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2. Suppose that X - Unif[0, c] for some constant c> 0. Show that the random variable Y = c - X has the

2. Suppose that X - Unif[0, c] for some constant c> 0. Show that the random variable Y = c - X has the same cumulative distribution function as X and hence also the same density function. (Hence, if X is uniformly distributed on [0, c], so is c - X.)

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