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