Answer
a) .01 percent
b) .01 percent
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 .01 percent of men can fit.
b) We find the z-score:
$\frac{51.6-63.8}{2.4}=-4.692$
This is less than $-3.5$, so only about .01 percent of women can fit.
c) It does not, for most of the passengers cannot enter the aircraft without bending.
d) We know that the z-score is .25. Thus, it follows:
$=(.25)(2.4)+69.5=70.1 \ inches$
