Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college students). Also assume that a female student is randomly selected. Draw a graph, and find the indicated probability.
The Beanstalk Club, a social organization for tall people, has a requirement that women must be at least 70 in. (or 5 ft 10 in.) tall. Suppose you are trying to decide whether to open a branch of the Beanstalk Club at your college with 500 female students.
a. Find the percentage of female students who are eligible for membership because they meet the minimum height requirement of 70 in.
b. Among the 500 female students in your college, how many would be eligible for Beanstalk Club membership?
c. Will you open a branch of the Beanstalk Club?