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4. (a) Let X be a uniform random variable in the interval (a, b). (i) Find the mean, variance, median, and mode of X. (ii)

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4. (a) Let X be a uniform random variable in the interval (a, b). (i) Find the mean, variance, median, and mode of X. (ii) Give an algorithm to generate the random variable X. (b) Let the random variable X have the Laplace distribution with pdf fx(x) = bexp(-2b(x[), for b > 0 and corresponding cumulative distribution function (cdf) given by 2bx x

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