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Suppose Z ~ Bernoulli(1/2), X1 ~ Uniform[0, 1] and X2 ~ Uniform{0, 1,2, 3} (discrete) be independent random variables. Let Y: ZX1+(1Z)X2 Find the cumulative

Suppose Z ~ Bernoulli(1/2), X1 ~ Uniform[0, 1] and X2 ~ Uniform{0, 1,2, 3} (discrete) be independent random variables. Let Y: ZX1+(1Z)X2 Find the cumulative distribution function of Y

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