Question: The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5000.
a) What percent of the 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 wants to award the sales representatives who earn the largest commissions a bonus of $1000. He can award a bonus to 20% of the representatives. What is the cutoff point between those who earn a bonus and those who do not?