Question

A random variable X has the probability density function given below
2(

Answer 1

X has the probability density function given below

$p(x) = \begin{cases} 2(1-x) &\text{if } 0\le x < 1 \\ 0, &\text{otherwise } \end{cases}$

Find $P(X\le2)$

Solution

$P(X<2) = 1-P(X\ge 2) = 1-0 = 1$