The height of adult males on a given South Pacific Island is approximately normally distributed with mean 63 inches and standard deviation of 4 inches. What percentage of the adult male population on this island is:

Question

a. Taller then 65 inches

Answer 1

To solve this problem, we can use the standard normal distribution formula:

z = (x - μ) / σ

where z is the z-score, x is the value we are interested in (65 inches), μ is the mean (63 inches), and σ is the standard deviation (4 inches).

Plugging in the numbers, we get:

z = (65 - 63) / 4 = 0.5

Using a standard normal distribution table or calculator, we can find the percentage of the population that is taller than 65 inches by looking up the area to the right of the z-score of 0.5. This area is approximately 30.85%.

Therefore, about 30.85% of the adult male population on this island is taller than 65 inches.