Suppose that the average number of calls coming into a local store with many telephone lines is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming calls as a Poisson process, a) What assumptions must we make? b) If these assumptions hold, how many calls can we expect in a day? c) What is the probability of having three calls by noon? d) What is the probability of having the first call after 10:30 am?
Suppose that the average number of calls coming into a local store with many telephone lines is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming calls as a Poisson process, a) What assumptions must we make? b) If these assumptions hold, how many calls can we expect in a day? c) What is the probability of having three calls by noon? d) What is the probability of having the first call after 10:30 am?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 9ECP: A random number generator selects two integers from 1 to 30. What is the probability that both...
Related questions
Question
Suppose that the average number of calls coming into a local store with many telephone lines
is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming
calls as a Poisson process,
a) What assumptions must we make?
b) If these assumptions hold, how many calls can we expect in a day?
c) What is the probability of having three calls by noon?
d) What is the probability of having the first call after 10:30 am?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you