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please assist: [1] Consider the probability density {mass} function 1 3 p100 =k ;k= 1.2.3.4 [a] Derive the moment generating function (mg for the random

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[1] Consider the probability density {mass} function 1 3 p100 =k ;k= 1.2.3.4 [a] Derive the moment generating function (mg for the random variable X. [b] Using the mgr, determine the mean and variance of X. Credit will not be given unless the mgf is used to determine moments. [c] Consider the random variable W = X1 + X2, where X; are independent and identically distributed as 3);: (it) above. Write the expression for MW (t). (You need not simplify the expression, collect terms, etc.)

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