Answer
a. $0.55$
b. $-1,17$
c. $19690$, $123400$, $14090$
Work Step by Step
$\mu=14090$ and $\sigma=3500$
a. z score for 16,000 miles $z=\frac{16000-14090}{3500}=0.55$
b. z score for 10,000 miles $z=\frac{10000-14090}{3500}=-1,17$
c. Number of miles corresponding to z scores of 1.6, -0.5, and 0.
$1.6=\frac{x1-14090}{3500}, x1=19690$
$-0.5=\frac{x2-14090}{3500}, x2=123400$
$x3=14090$
