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A random variable $X$ has probability density function $f(x)$ as given below:

$f(x)= \begin{cases} a+bx & \text{ for } 0 < x < 1 \\ 0 & \text{otherwise} \end{cases}$

If the expected value $E[x] = 2/3$, then $Pr[x < 0.5]$ is __________.

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