The amounts of money requested on home loan applications at a particular bank follow the normal distribution, with a mean of $80,000 and a standard deviation of $24,000. A loan application is received during the day. By hand:
a. Find the probability that the amount requested amount is $90,000 or more?
b. Find the probability that the amount requested is between $75,000 and $90,000?
c. How much is requested on the largest three percent of loans?
d. How much is requested on the smallest ten percent of the loans?