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 than 65

Answer 1

To solve this problem, we need to standardize the height of 65 inches using the formula:

z = (x - μ) / σ

Where:
x = 65 inches (the height we want to find the percentage for)
μ = 63 inches (the mean height of the population)
σ = 4 inches (the standard deviation of the population)

z = (65 - 63) / 4
z = 0.5

Using a standard normal distribution table or calculator, we can find that the percentage of the population taller than 65 inches is about 30.85%.