Question
Suppose error involved in making a certain measurement is a continuous r.v. X with p.d.f.
$
f(x)= \begin{cases}k\left(4-x^2\right) & \text { for }-2 \leq x \leq 2 \\ 0 & \text { otherwise }\end{cases}
$
$
f(x)= \begin{cases}k\left(4-x^2\right) & \text { for }-2 \leq x \leq 2 \\ 0 & \text { otherwise }\end{cases}
$
Compute (i) $P ( X >0$ ), (ii) $P (-1< X <1$ ), (iii) $P ( X <-0.5$ or $X >0.5)$