Question: According to the Internal Revenue Service the average income tax

According to the Internal Revenue Service, the average income tax refund for the 2011 tax year was $ 2,913. Assume the refund per person follows the normal probability distribution with a standard deviation of $ 950.
a. What is the probability that a randomly selected tax return refund from the 2011 tax year will be
1. More than $ 2,000?
2. Between $ 1,600 and $ 2,500?
3. Between $ 3,200 and $ 4,000?
b. Confirm the answers to part a using Excel or PHStat.
c. What refund amount represents the 35th percentile of tax returns?

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