Please show all work. Thank you!
The amount of money requested on home loan applications atAmerica Bank follows normal distribution, with a mean of $180,000and a standard deviation of $6,000. A loan application is receivedthis morning.
a) What is the probability the amount requested is $190,000 ormore?
b) What is the probability the amount requested is between$178,000 and $190,000?
c) What is the probability the amount requested in below$178,000?
d) How much is requested on the largest 5% of the loans?
e) How much is requested on the smallest 5% of the loans?
