Question: The time it takes applicants for clerical positions to complete a standard keyboarding test is normally distributed with a mean of 10 minutes and standard deviation of 1.5 minutes.

a) What is the probability that a random selected applicant will require 12.5 minutes or more to complete the test?

b) What is the probability that a random selected applicant will require exactly nine minutes to complete the test?

c) If it is company policy to consider only the 2.5% of applicants who need the least amount of time to complete the test, what is the cut-off time between those who are considered by the company and those who are not?