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b) Let X1 and X2 be independent random variables X1 and X2 each with a probability density function given by f(x)={e for x>0. 0 elsewhere.

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b) Let X1 and X2 be independent random variables X1 and X2 each with a probability density function given by f(x)={e for x>0. 0 elsewhere. '1 i) Obtain thejoint density function of X, and X2. (3 marks) ii) Find the distribution function of Y = XI + .'K2 using distribution function technique. (7 marks)

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