Question: Assume that X has density f(x) = ax + bx3 for 0 x 2 and f(x)=0 otherwise. Find a and b if E(X2)=2.5.

Assume that X has density f(x) = ax + bx3 for 0 ≤ x ≤ 2 and f(x)=0 otherwise.

Find a and b if E(X2)=2.5.

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