Question: A limiter Y = g(X ) is shown in the figure below. g(x) a -a a X (a) Find the cumulative distribution function (cdf) and

 A limiter Y = g(X ) is shown in the figure

A limiter Y = g(X ) is shown in the figure below. g(x) a -a a X (a) Find the cumulative distribution function (cdf) and probability density function (pdf) for Y in terms of the cdf and pdf of X. (b) Find the cdf and pdf of Y if X is a Laplacian random variable with fx (x) =~ (c) Find the cdf and pdf of Y if X is a Gaussian random variable with mean u and variance 62

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