S2103_MA340_Q3.pdf

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Department
Mathematics
Course
MA340
Professor
Adam Metzler
Semester
Spring

Description
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.?
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