MA340 Quiz: July 9-10, 2013. Name: Student number:
Instructions: Due at the beginning of lecture on July 10. Please don’t hand in the ▯rst draft of your answer - i.e.
solve the problems and then write up clear, easy-to-follow solutions in the space provided.
1. An emergency center (open 24 hours per day) receives phone calls according to a Poisson process with an
average of 2 calls in any 20-minute period. Employees in the center work in shifts of eight hours each (i.e. one
shift is eight hours long and di▯erent shifts do not overlap each other).
(a) What is the probability that the center receives three or fewer phone calls during a given 45-minute period?
(b) If Jillian begins her shift at 9:00 a.m., what is the probability that she receives her ▯rst call between 9:15
a.m. and 9:45 a.m.?