Question

The heights of 10000 women students at Eastern College are known to be normally distributed, with a mean of 67 inches and a standard deviation of 3 inches. How many women would you expect to be shorter than 5 ft 1 inch?

Answer 1

First, convert 5ft 1inch in inches, you will get 61inches, so the probability that you need to find is P(x≤5)
Find z score: Z=(61-67)/3 = -2, with this find the probability from the z table and you get 0.0228= 2.28%, for the answer multiply 10000 by the probability 0.0228*10000= 228 women expected to be shorter that 5ft 1inch (61inches)