According to the Internal Revenue Service, the average income tax refund for the 2018 tax year was $2,780. Assume the refund the per person follows the normal probability distribution with a standard deviation of $950. What is the probability that a randomly selected tax return refund from the 2018 tax year will be more than $3,000
a) What is the probability that a randomly selected tac return will be
1) more than $2000?
2) between $1600 and $2500?
3) between $3200 and $4000?
b) Confirm the answers using an excel sheet.
c) What refund amount represents the 35th percentile of tax returns?