3. A store opens at 8 A.M. and closes at 6 P.M. From 8 until 10 customers arrive at a Poisson rate of 5 an hour. Between 10 and 12 they arrive at a Poisson rate of 9 an hour. From 12 to 2 the arrival rate increases steadily from 9 per hour at 12 to 15 per hour at 2; and from 2 to 6 the arrival rate drops steadily from 15 per hour at 2 to 7 per hour at 6. (a) What is the expected number of customers that enter the store on a given day? (b) What is the probability that from 12 to 2, there are exactly 20 customers arrive? Compute this number numerically.
3. A store opens at 8 A.M. and closes at 6 P.M. From 8 until 10 customers arrive at a Poisson rate of 5 an hour. Between 10 and 12 they arrive at a Poisson rate of 9 an hour. From 12 to 2 the arrival rate increases steadily from 9 per hour at 12 to 15 per hour at 2; and from 2 to 6 the arrival rate drops steadily from 15 per hour at 2 to 7 per hour at 6. (a) What is the expected number of customers that enter the store on a given day? (b) What is the probability that from 12 to 2, there are exactly 20 customers arrive? Compute this number numerically.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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