The annual commissions earned by sales representatives of XYZ corp follow a normal probability distribution with a mean of $40,000 and a standard deviation of $5,000
a) What percentage earn more than $42,000 per year?
b) What percentage earn between $32,000 and $45,000?
c) What percentage earn less than $31,000?
d) Suppose the manager wants to give a bonus to the sales representatives in the top 20% of earned commissions What is the dollar cutoff value for commissions?
e) What is the z-score for $31,000?
f) what is the z-score for $42,000?
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