Question: Let X be a discrete random variable with probability function (i) Show that the variable Y = |X| has probability function i.e. Y has the

Let X be a discrete random variable with probability functionx+1, +2,..., (n-1), 2n' f(x)= 1 x = 0. n

(i) Show that the variable Y = |X| has probability functionimage text in transcribed

i.e. Y has the discrete uniform distribution on the set {0, 1, 2, 3,…, n − 1}.
(ii) Calculate the mean and variance for X and Y.

x+1, +2,..., (n-1), 2n' f(x)= 1 x = 0. n

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