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Find the cumulative distribution function f

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Reference no: EM132854525

Let X,Y be independent random variables with Bin(2, g) 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 prob- ability density function and if not, explain Why Z does not have a pdf.

Reference no: EM132854525

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