Laplace Random Variables : Cumulative Distribution Function, Mean and Variance
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A r.v. X is called a Laplace r.v. if its pdf is given by
fx(x) = ke ^(-lambda |x|) lambda>0, -infidenity< x < infidenty
where k is a constant.
(a) Find the value of k.
(b) Find the cdf of X.
(c) Find the mean and the variance of X.
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