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?AppendixLO1