Assuming that the heights of college women are normally dist

Assuming that the heights of college women are normally distributed with a mean 65 inches and standard deviation 2.5 inches, what percentage of women are taller than 67.5 inches?

Solution

P(X>67.5) = P((X-mean)/s >(67.5-65)/2.5)

=P(Z>1)

=0.1587 (from standard normal table)

i.e. 15.87%