A bank's loan officer rates applicatnts for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.
a. What is the probability that na applicatnt's score is above 215?
b. In 40 applicatns, how many do you expect to have a score greater than 215?
c. An applicant is told that her score is in the top 3% of all scores. What is the worst her score cna possibly be?