Assume the cars are independent of one another. What is the probability that exactly 5 (five) cars show up to the inspection station in an hour and at most 3 (three) of them wait more than 3 minutes? The number of cars that arrive at an inspection station within a time period of one hour follows a Poissondistribution with hourly rate/expectation λ = 5.Further, the time a car waits at the inspection station once it arrives before moving on (finishes inspection)follows an exponential distribution with parameter 0 = 3 minutes.

ne number of cars at arrive at an inspection station within a time distribution with hourly rate/expectation λ = 5. Further, the time a car waits at the inspection station once it arrives follows an exponential distribution with parameter 0 = 3 minutes.

ne number of cars at arrive at an inspection station within a time distribution with hourly rate/expectation λ = 5. Further, the time a car waits at the inspection station once it arrives follows an exponential distribution with parameter 0 = 3 minutes.

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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Question

Assume the cars are independent of one another. What is the probability that exactly 5 (five) cars show up to the inspection station in an hour and at most 3 (three) of them wait more than 3 minutes?

The number of cars that arrive at an inspection station within a time period of one hour follows a Poisson
distribution with hourly rate/expectation λ = 5.
Further, the time a car waits at the inspection station once it arrives before moving on (finishes inspection)
follows an exponential distribution with parameter 0 = 3 minutes.

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