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. under 59 inches

Answer 1

To find the percentage of the adult male population that is under 59 inches, we need to calculate the z-score for 59 inches:

z = (59 - 63) / 4 = -1

Using a standard normal distribution table or calculator, we can find that the proportion of the population below this z-score is approximately 0.1587, or 15.87%. Therefore, about 15.87% of the adult male population on the island is under 59 inches tall.