In: Statistics and Probability
1. Assume that female students’ heights are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ =2.6 in.
a) If one female student is randomly selected, find the probability that her height is between 64.2 in. and 66.2 in.
b) If 25 female students are randomly selected, find the probability that they have a mean height between 64.2 in. and 66.2 in.