Cars arrive at a tollbooth at a mean rate of 36 cars every 9 minutes according to a Poisson process. Let X = the waiting time in minutes until the second toll is collected. a. How is X distributed? b. Write the complete pdf of X. c. What is the probability that the tollbooth collector has to wait less than 2 minutes to collect the second toll?
Cars arrive at a tollbooth at a mean rate of 36 cars every 9 minutes according to a Poisson process. Let X = the waiting time in minutes until the second toll is collected. a. How is X distributed? b. Write the complete pdf of X. c. What is the probability that the tollbooth collector has to wait less than 2 minutes to collect the second toll?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Cars arrive at a tollbooth at a mean rate of 36 cars every 9 minutes according to a Poisson process. Let X = the waiting time in minutes until the second toll is collected.
a. How is X distributed?
b. Write the complete
c. What is the
d. Find the mean and variance of X.
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