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Give the PDF of a probability distribution is 1 9 f(x) = 62 xe'x/ , x > 0 which will give a population mean and

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Give the PDF of a probability distribution is 1 9 f(x) = 62 xe'x/ , x > 0 which will give a population mean and variance as E(X) = 29, V(X) = 2192 (a) With a random sample of size n (n is large enough to apply CLT if necessary), estimate the unknown parameter (9) using the method of moment and method of maximum likelihood. (b) Calculate the MSE of maximum likelihood estimator

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