Question: For the triangular distribution f (x) = 2 a ( 1 x a ) , 0 < x < a, (a) Find the moment

For the triangular distribution f (x) = 2 a

(

1 − x a

)

, 0 < x < a,

(a) Find the moment generating function.

(b) Use the moment generating function to find the mean and variance of X and check these results by direct calculation.

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