[Exer11-1] Exercise 27 of Book {Devore2017B} P.169
Let $Z$ be a standard normal random variable.
In each case, determine the value of the constant $c$ that makes the probability statement correct.
- (a) $\Phi(c)=.9838$
- (b) $P(0\leqslant Z\leqslant c)=.291$
- (c) $P(c\leqslant Z)=.121$
- (d) $P(-c\leqslant Z\leqslant c)=.668$
- (e) $P(c\leqslant|Z|)=.016$