A continuous random variable $X$ has range $0 \leq X \leq 2$, and the graph of the probability density function of $X$ is shown in the figure. What is the value of $\mathrm { P } \left( \frac { 1 } { 3 } \leq X \leq a \right)$? (Here, $a$ is a constant.) [3 points] [Figure] (1) $\frac { 11 } { 16 }$ (2) $\frac { 5 } { 8 }$ (3) $\frac { 9 } { 16 }$ (4) $\frac { 1 } { 2 }$ (5) $\frac { 7 } { 16 }$
A continuous random variable $X$ has range $0 \leq X \leq 2$, and the graph of the probability density function of $X$ is shown in the figure. What is the value of $\mathrm { P } \left( \frac { 1 } { 3 } \leq X \leq a \right)$? (Here, $a$ is a constant.) [3 points]\\
\includegraphics[max width=\textwidth, alt={}, center]{26f53191-c2e9-4115-98d0-f3837666a14d-03_325_522_590_1239}\\
(1) $\frac { 11 } { 16 }$\\
(2) $\frac { 5 } { 8 }$\\
(3) $\frac { 9 } { 16 }$\\
(4) $\frac { 1 } { 2 }$\\
(5) $\frac { 7 } { 16 }$