[Exer9-2] Exercise 3 of Book {Devore2017B} P.148
Suppose the error involved in making a certain measurement is a continuous rv $X$ with pdf
\[
f(x)=
\begin{cases}
.09375(4-x^2), & -2\leqslant x\leqslant 2, \\
0, & \mbox{otherwise}.
\end{cases}
\]
- (a) Sketch the graph of $f(x)$.
- (b) Compute $P(X>0)$.
- (c) Compute $P(-1<X<1)$.
- (d) Compute $P(X<-.5\ \text{or}\ X>.5)$.