Question

If p.d.f. of continuous r.v. is given by
$f\left(x\right)=\frac{x}{8},0<x<4$
$=0$, otherwise then F(x) is

• A. $\frac{x^2}{8}$
• B. $\frac{x}{4}$
• C. $\frac{x^2}{4}$
• D. $\frac{x^2}{16}$

Answer 1

The correct option is D $\frac{x^2}{16}$

$F\left(x\right)=\int \frac{x}{8}dx$

$\Rightarrow F\left(x\right)=\frac{x^2}{16}$