Question

Suppose the heights (in inches) of adult males in a country are normally distributed with a mean of 68 and a standard deviation of 2. Find the percent of men who are no more than 64 inches tall. What is the % of the men in the country are no more than 64 inches tall.​

Answer 1

So, about 2.28% of men in the country are no more than 64 inches tall.

Explanation:

First, we need to standardize the value of 64 inches to a z-score:

z = (64 - 68) / 2 = -2

We can use a standard normal distribution table or a calculator to find the percentage of men who are no more than 64 inches tall:

P(Z ≤ -2) = 0.0228