Question: 34. a. Find the moment-generating function of a random variable X having the density function f(x} = ~ G)1lo.I.2.3dx). (Hint: Use of the binomial theorem

34.

a. Find the moment-generating function of a random variable X having the density function f(x} = ~ G)1lo.I.2.3dx).

(Hint: Use of the binomial theorem may be helpful in finding a compact representation of this function.)

Use the MGF to calculate the first two moments of X about the origin. Calculate the variance of X.

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