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Question 2: (It? marks) It is given that for1r=0 gfor$=1 P(X=:L')= 1%for:r:=4 0 otherwise a. (6 marks) Obtain the moment generating function of X and

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Question 2: (It? marks) It is given that for1r=0 gfor$=1 P(X=:L')= 1%for:r:=4 0 otherwise a. (6 marks) Obtain the moment generating function of X and based on the moment generating, derive the mean and variance of X . b. (4 marks) Let X1, . . . ,Xmg be iid from the above distribution. Approximate P(83 5 X1 + "'4'le '1: 110)

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