1. Let the random variable X have the Laplace distribution with pdf fx(x) = b exp(-2b|x|), for b>0 and corresponding cum
Posted: Wed Jul 06, 2022 11:50 am
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 x < 0 Fx(x) = e2bx 1 -2bx 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 = X² and give an algorithm to generate it. )