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(b) Consider the following probability distribution function and answer the questions that follow. f(x) = 4x(9x 2 ) 81 , 0 x 3 or 0

(b) Consider the following probability distribution function and answer the questions that follow. f(x) = 4x(9x 2 ) 81 , 0 x 3 or 0 elsewhere. Find the following:

(i) first four moments about the origin for a random variable X.

(ii) first two moments about the mean for a random variable X.

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