The heights of South African men are Normally distributed with a mean of 69 inches and a standard deviation of 4 inches. What is the probability that a randomly selected South African man is taller than 72 inches

the probability that a randomly selected South African man is taller than 72 inches is 0.2266

Step-by-step explanation:

The heights of South African men are Normally distributed with a mean of 69 inches and a standard deviation of 4 inches

population mean (m) = 69 inches

population standard deviation (s) = 4 inches

Therefore, the number of standard deviation above mean (z score) = (x - m) / s

In this case, x = 72 inches

z score = (72 - 69) / 4 = 3/4 = 0.75

Probability that a randomly selected South African man is taller than 72 inches P (x>72) = 1 - P (x<72) = 1 - z (0.75) using the z table,

P (x>72) = 1 - 0.77337 = 0.2266

therefore, the probability that a randomly selected South African man is taller than 72 inches is 0.2266