Question

The height of an adult male is known to be normally distributed with a mean of 65 inches and a standard deviation of 3.25 inches. The height of the doorway such that only 17 percent of the adult males cannot pass through it without having to bend is:

a) 1.8

b) about 72

c) about 80

d) about 76

e) about 68

Answer 1

Let X denotes the height of a randomly selected adult male.

Here,

X ~ Normal(65, 3.252)

To find the height of the doorway such that only 17 percent of the adult males cannot pass through it without having to bend, i.e.

ans-> e) about 68