Answer
The largest breaking distance of a sedan that can be in the bottom 5% is $120.73$ feet
Work Step by Step
1) Using the standard normal table or technology, we find that $z = -1.645$ corresponds to a cumulative area of 0.05.
2) To find the corresponding $x$ value:
z = $\frac{x - \mu}{\sigma}$
$x$ = $\mu$ + $z\sigma$
$x$ = $127 + (3.81 \times -1.645)$
$x$ = $120.73$ feet
