Let's assume that education is normally distributed. Using GSS data, we find the mean number of years of education is 13.47 with a standard deviation of 3.1. A total of 1,496 respondents were included in the survey. Use these numbers to answer the following questions.
a. If you have 13.47 years of education, that is, the mean number of years of education, what is your Z score?
b. If your friend is in the 60th percentile, how many years of education does she have?
c. How many people have between your years of education (13.47) and your friend's years of education?