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Find the moment generating function forW=Y1+Y2+…+Yn(c) (3 points)T1= 1− ̄Yis an unbiased estimator ofp? Find the MSE ofT1

1. (10 points) LetY1,Y2,…,Ynbe independent and identically distributed random variables such that for0< p <1,P(Yi= 1) = 1−pandP(Yi= 0) =p. (a) (2 points) Find moment generating function for the random variableY1 (b) (2 points) Find the moment generating function forW=Y1+Y2+…+Yn(c) (3 points)T1= 1− ̄Yis an unbiased estimator ofp? Find the MSE ofT1(d) (3 points) Construct […]

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