Question: The distribution of salaries of elementary school teachers is approximately normal with mean m = $32000 and a standard deviation s = $5000.

a) If an individual teacher is selected at random, what is the probability that his or her salary is less than $36000?

(b) What is the cutoff salary for teachers who have salaries in the top 10%?

(c) If 35 teachers are randomly selected, what is the probability that their mean salary is between $31500 and $36000? Use the Central Limit Theorem.