Answer:
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
