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A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. Customer arrivals to a fast food restaurant can be modeled by a Poisson process. The busiest time of the restaurant is between 19:00 p.m. and 19:30 p.m. with an arrival rate of λ; = 4 customer / min. a) By writing an R code, compute the probability that at least 131 customers arrive between 19:00 p.m. and 19:30 p.m. b) The management wants to compute an upper limit C such that the number of customers arriving between 19:00 p.m. and 19:30 does not exceed C with a probability of at least 0.99. Compute the upper limit C by writing an R code. Note: The codes above may be single-line codes (one command).
Transcribed Image Text:3. Customer arrivals to a fast food restaurant can be modeled by a Poisson process. The busiest time of the restaurant is between 19:00 p.m. and 19:30 p.m. with an arrival rate of λ; = 4 customer / min. a) By writing an R code, compute the probability that at least 131 customers arrive between 19:00 p.m. and 19:30 p.m. b) The management wants to compute an upper limit C such that the number of customers arriving between 19:00 p.m. and 19:30 does not exceed C with a probability of at least 0.99. Compute the upper limit C by writing an R code. Note: The codes above may be single-line codes (one command).
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