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Ans with full steps please Q3 (12 marks) Let X has a uniform distribution on the interval (1,2). Give that X=x, Y has a uniform

Ans with full steps please

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Q3 (12 marks) Let X has a uniform distribution on the interval (1,2). Give that X=x, Y has a uniform distribution on the interval (0,x). Find the marginal p.d.f. of Y. Q4. (12 marks) Suppose that X follows Exponential distribution with parameter 0=2. And Y follows Gamma distribution with parameters a-5, 0=2. Assume that X and Y are independent. Find the probability P(Z>21) where Z=X+Y

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