Question: Let the random variable X have the Laplace distribution with pdf f(x) = b exp(-2b|x|), for b > 0 1. Let the random variable X

Let the random variable X have the Laplace distribution with pdf

f(x) = b exp(-2b|x|), for b > 0

1. Let the random variable X have the Laplace distribution with pdf fx(x) = b exp(-2b|x]), for b>0 and corresponding cumulative distribution function (cdf) given by Szebx x 0 (a) Find the mean, median, mode, and standard deviation of X. (b) Give an algorithm to generate the random variable X. (c) Find the pdf of Y = X and give an algorithm to generate it

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