4. Let X1, X2, Xn be a random sample with probability density function f(x; 0) =...

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4. Let X1, X2, Xn be a random sample with probability density function f(x; 0) = 0x for 0 < x <3 and > 0. 3 a) Find the expected value of X. b) Find the method of moments estimator . c) Is unbiased for 0? Explain. d) Is consistent for 0? Explain. e) Find the limiting distribution of ( 0). 4. Let X1, X2, Xn be a random sample with probability density function f(x; 0) = 0x for 0 < x <3 and > 0. 3 a) Find the expected value of X. b) Find the method of moments estimator . c) Is unbiased for 0? Explain. d) Is consistent for 0? Explain. e) Find the limiting distribution of ( 0).