0 votes 0 votes 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 __________. Probability & Statistics gate2015-ee-1 probability-and-statistics probability random-variable probability-density-function expectation numerical-answers + – makhdoom ghaya asked Feb 11, 2017 • retagged Mar 8, 2021 by Lakshman Bhaiya makhdoom ghaya 9.4k points answer comment Share See all 0 reply Please log in or register to add a comment.