Suppose n people have a $5 bill, and n people have a $10 bill. They line up single file one night to buy a ticket that costs $5. The agent selling tickets has no change at the beginning of the night. No one ever changes place in line. If the agent does not have change for the next customer, the ticket booth shuts down. Ignore the fact this would not happen with real human beings. Each possible ordering of the customers is equally likely. What is the probability that every customer who lined up at the beginning of the process will be able to purchase a ticket? Remember, there are 2n customers, so the answer will depend on n. Use R to simulate this scenario. Your simulation will create a randomly selected ticket line. Then you determine if everyone gets to purchase a ticket. Repeat this simulation many times. Estimate the probability everyone can purchase a ticket for cases where n= 10, n = 50, and n = 99.

Suppose n people have a $5 bill, and n people have a $10 bill. They line up single file one night to buy a ticket that costs $5. The agent selling tickets has no change at the beginning of the night. No one ever changes place in line. If the agent does not have change for the next customer, the ticket booth shuts down. Ignore the fact this would not happen with real human beings. Each possible ordering of the customers is equally likely. What is the probability that every customer who lined up at the beginning of the process will be able to purchase a ticket? Remember, there are 2n customers, so the answer will depend on n. Use R to simulate this scenario. Your simulation will create a randomly selected ticket line. Then you determine if everyone gets to purchase a ticket. Repeat this simulation many times. Estimate the probability everyone can purchase a ticket for cases where n= 10, n = 50, and n = 99.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 7PE

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