The time at which the mailman delivers the mail follows a normal distribution with a mean of 2:00PM and a standard deviation of 15 minutes
a) What is the probability that the mail will arrive before 1:50PM?
b) What is the probability that the mail will arrive after 2:30PM?
c) What is the probability that the mail will arrive between 1:40PM and 2:20PM?
d) Between what two times (equally before the mean and equally after the mean) accounts for the mail being delivered 95% of the time?