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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?
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A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief is greater than or equal to the annual spending (per person) for non-prescription aller..
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Suppose we have a population of scores with a mean (μ) of 975 and a standard deviation (σ) of 15. Assume that the distribution is normal. What percentage of the population will lie between 960 and 990?
One of the herpetologists fears that pollution might be affecting the natural growth of the pythons. Do you think this sample result is unusually small? Explain. Show work.
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