Question: (a) Let Y be a random variable with probability density function given by 2(1 -y), OSys1 f (y) = 0, otherwise (i) Find the density

(a) Let Y be a random variable with probability density function given by 2(1 -y), OSys1 f (y) = 0, otherwise (i) Find the density function of U =2Y -1 and U, = Y . (7 marks) (ii) Find E[U, ] and E[U, ] by using the derived density functions in part (a)(i). (2 marks)

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