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Cumulative distribution function f of the random variable z

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Reference no: EM132848279

Let X, Y be independent random variables with Bin(2, 1/2 ) and Unif[0, 2] distributions respectively.

Let Z = X + Y .

(a) Find the cumulative distribution function F of the random variable Z.

(b) Does Z have a probability density function? If yes, compute the probability density function and if not, explain why Z does not have a pdf.

Reference no: EM132848279

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