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Find the Expected Value and Variance for the Random Variable f(x)=12x2(1x)f ( x ) = 12 x ^ { 2 } ( 1 - x )

Question 1

Short Answer

Find the expected value and variance for the random variable whose probability density function is f(x)=12x2(1x)f ( x ) = 12 x ^ { 2 } ( 1 - x ) 0 ≤ x ≤ 1.
Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.

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