In: Statistics and Probability
The average income tax refund for the 2009 tax year was $3109. Assume the refund per person follows the normal probability distribution with a standard deviation of $917. Complete parts a through d below.
a. What is the probability that a randomly selected tax return refund will be more than $2000?
b. What is the probability that a randomly selected tax return refund will be between $1500 and $2900?
c. What is the probability that a randomly selected tax return refund will be between $3400 and 4000?
d. What refund amount represents the 35th percentile of tax returns?