The question I am working on is:
In each case, determine the value of the constant c that makes the probability statement correct.
$P(c \le |Z|)=0.016$
Here is my attempt:
$P(|Z| \ge c)=0.016$
$P(Z \ge c~or~Z \le -c) = 0.016 $
$[1-\phi (c)] - \phi (-c) = 0.016$
By symmetry, $1-\phi (c)$ and $\phi (-c)$ are equal.
$2 \phi (-c) = 0.016 \implies \phi (-c) = 0.008$.
However, this doesn't lead to the correct solution. What exactly did I solve for? And how was I actually suppose to solve this question?