The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed.

a.) State the random variable.

b.) Find the probability that a starting teacher will make more than $60,000.

c.) Find the probability that a starting teacher will make less than $50,000.

d.) Find the probability that a starting nurse will make between $52,000 and $59,500.

e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?