Answer
a) $0.01$ %
b) $0.01$ %
c) No
d) $70.1$ inches
Work Step by Step
a) We find the $z$-score:
$\frac{51.6−69.5}{2.4}=-7.46$
This is less than $−3.5$, so only about $0.01$ % percent of men fit.
b) We find the $z$-score:
$\frac{51.6−63.8}{2.4}=-4.69$
This is less than $−3.5$, so only about $0.01$ % percent of women fit.
c) It does not, because most of the passengers cannot enter the aircraft without bending.
d) We know that the $z$-score is $0.25$. Hence:
$=(0.25)(2.4)+69.5=70.1$ inches
