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