9709 P63 - Jun 2023 - Q1 - 3 marks
10174
A random variable \(X\) has probability density function \(f\), where \[f(x)=\begin{cases}\frac32(1-x^2),&0\le x\le1,\\0,&\text{otherwise}.\end{cases}\]
Find \(E(X)\). [3]
