7. The density function of X is given by $$f(x) = begin{cases} a + bx^2 & 0...
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7. The density function of X is given by
$$f(x) = \begin{cases}
a + bx^2 & 0 \le x \le 1 \\
0 & otherwise
\end{cases}$$
If E[X]= $\frac{1}{3}$, find a and b.
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