please use R to answer the following question:   Assume you represent a worldwide distributor of classic cars. Create a Monte Carlo simulation with 10,000 trials to demonstrate the property that, if the amount of time it takes before your next customer makes a purchase can be modelled using an exponential distribution with a rate of 10 per day, then the number of times customers will make purchases in a day will follow a Poisson distribution with λ=10. Develop a histogram to reinforce your result.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter24: Forecasting Models
Section24.8: Multiple Regression
Problem 9P
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please use R to answer the following question:

 

Assume you represent a worldwide distributor of classic cars. Create a Monte Carlo simulation with 10,000 trials to demonstrate the property that, if the amount of time it takes before your next customer makes a purchase can be modelled using an exponential distribution with a rate of 10 per day, then the number of times customers will make purchases in a day will follow a Poisson distribution with λ=10. Develop a histogram to reinforce your result.

 

ps (plz do not use chatgpt)

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