Continuous uniform distribution on the interval

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Suppose that X and Y arc independent random variables; that X has a discrete uniform distribution on the integers 1, 2, 3, 4, 5; and that Y has a continuous uniform distribution on the interval (0,5). Let Z be a random variable such that Z = X with probability 1/2 and Z = Y with probability 1/2. Sketch the d.f. of Z.

Reference no: EM131829906

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