Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested inthe article "Dynamic Ride Sharing: Theory and Practice"+). (Round your answer to three decimal places.)(a) What is the probability that the number of drivers will be at most 18?(b) What is the probability that the number of drivers will exceed 29?(c) What is the probability that the number of drivers will be between 18 and 29, inclusive?What is the probability that the number of drivers will be strictly between 18 and 29?(d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value?You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answered: Suppose that the number of drivers who…

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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Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in article "Dynamic Ride Sharing: Theory and Practice," J. of Transp. Engr., 1997: 308-312). What is the probability that the number of drivers will: (i) Be at most 10? (ii) Exceed 20? (iii) Be between 10 and 20, inclusive? (iv) Be strictly between 10 and 20?
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter λ=20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice," J. of Transp. Engr., 1997: 308-312). What is the probability that the number of drivers will a. Be at most 10? b. Exceed 20? c. Be between 10 and 20, inclusive? Be strictly between 10 and 20? d. Be within 2 standard deviations of the mean value?
Vahe, who is professor Madoyan’s favorite student, asks questions during office hours with a rate of 2.5 questions per 30 minutes. Suppose that the number of questions asked by Vahe follows Poisson distribution. What is the probability that during 45 minutes OH session, Vahe will ask more than 3 questions (round to 3 decimal places)?
Suppose a radioactive source is metered for 3 hours, during which time the total number of alpha particles counted is 328. Modeling the problem using a Poisson distribution, what is the probability exactly four particles will be counted in the next 2 minutes? Answer the question in two ways: (a) By defining X to be the number of particles counted in 2 minutes (b) By defining X to be the number of particles counted in 1 minute. Give your answers in decimal form with at least 6 significant figures.
Suppose that during lean hours in a call center, the number of calls received during any specified time period follows a Poisson distribution and, on average, the call center receives 20 calls in a hour. 1.What is the probability that there will be 25 calls in a 1 hr interval during lean hours? 2.What is the probability that there will be at least 1 call received in a 15 min interval during lean hours?
A manufacturing company claims that the number of machine breakdowns follows a Poisson distribution with a mean of two breakdowns every 500 hours. Let x denote the time (in hours0 between successive breakdowns. assuming that the manufacturing company's claim is true, find the probability that the time between successive breakdowns is at most five hours.
On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 1 truck will pass her apartment in a 2-hour time period using Poisson distribution, find the average number of trucks per 2 hours.
On average, Nancy has noticed that 27 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 2 trucks will pass her apartment in a 4-hour time period using the Poisson distribution, find the average number of trucks per 4 hours. Round your answer to three decimal places, if necessary.
A call center agent receives an average of 28 calls per hour. Assuming that this follows a Poisson distribution, use the normal approximation to determine the probability that in an hour, the call center agent will receive: a. 32 or more calls.b. greater than 25 calls. c. exactly 44 calls.
A call center agent receives an average of 28 calls per hour. Assuming that this follows a Poisson distribution, use the normal approximation to determine the probability that in an hour, the call center agent will receive: 32 or more calls. greater than 25 calls. exactly 44 calls.
Workers at Lyman Limited arrive at work at an average rate of 8 workers per hour. Assuming the arrival times follow a Poisson distribution, calculate the probability that a manager will observe: a) exactly 6 workers arriving in a given hour. b) at least 2 workers arriving in a 15-minute period.
A certain kind of sheet metal has, on average, 5 defects per 15 square feet.Assuming a Poisson distribution, find the probability that a 25 square foot metal sheet has at least 9 defects. Round your answer to three decimal places.

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