Chapter 11.2, Problem 2ED

(A)

To determine

To sketch: The graph of the functions $f\left(x\right)$ and $F\left(x\right)$.

(B)

To determine

Whether the functions $f\left(x\right)$ and $F\left(x\right)$ are probability density function or not.

(C)

To determine

To check: Whether there is any relationship between $f\left(x\right)$ and $F\left(x\right)$?

(D)

To determine

To evaluate: The definite integral ${\displaystyle \underset{0.5}{\overset{1.5}{\int }}f\left(x\right)dx}$.

(E)

To determine

Whether to use $F\left(x\right)$ to evaluate the integral in part (D).