The annual commissions earned by the sales representatives of Machine Products, Inc., manufacturer of light machinery, follow normal probability distribution. The mean yearly amount earned is $40,000 and standard deviation is $5,000.
a) What percent of sales representatives earn more than $42,000 per year?
b) What percent of sales representatives earn between $32,000 and $42,000?
c) What percent of sales representatives earn between $32,000 and $35,000?
d) The sales manager desires to award the sales representatives who earn largest commissions a bonus of $1,000. He can award the bonus to 20 percent of representatives. What is the cutoff point between those who earn the bonus and those who don't?