Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Random Variables & Distribution Functions
Let X be a random variable with cumulative distribution function given by \(\rm F(x)=\left\{\begin{matrix}0,&\ if\ x<0\\\ \frac{x+1}{3},&\ if\ 0\le x < 1\\\ 1, & \ if\ x \ge 1\end{matrix}\right.\) Then the value of \(\rm P\left(\frac{1}{3} is equal to
1
\(\frac{7}{36}\)
2
\(\frac{11}{36}\)
3
\(\frac{13}{36}\)
4
\(\frac{17}{36}\)