Question

In designing a theatre with having reference to stadium seating, engineers decide to consider the sitting eye heights of women. These heights have a mean of 730 mm and a standard deviation of 33 mm and they are normally distributed (based on anthropometric survey data from Gordon Churchill, Clauser) (30 points)
a)   For a randomly selected woman, what is the probability that she has a sitting eye height less than 700 mm?
b)   What percentage of women have a sitting eye height greater than 750 mm?
c)   ) for 50 randomly selected women what is the probability that their mean sitting height is less than 730 mm?

Answer 1