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Q3 Customers arrive at a bank counter at an average rate of 3 customers per hour. a) Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model. c) Using your model, I. Find the probability that no customer arrive in a given minute. II. Find the probability that at most 4 customers arrive in a given minute. In any given 4 minutes period, find w such that P(X > w) = 0.0487. Check the answer of part I and part ii using RStudio. II. %3D IV.

Q3 Customers arrive at a bank counter at an average rate of 3 customers per hour. a) Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model. c) Using your model, I. Find the probability that no customer arrive in a given minute. II. Find the probability that at most 4 customers arrive in a given minute. In any given 4 minutes period, find w such that P(X > w) = 0.0487. Check the answer of part I and part ii using RStudio. II. %3D IV.

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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Q3 Customers arrive at a bank counter at an average rate of 3 customers per hour. a) Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model. c) Using your model, I. Find the probability that no customer arrive in a given minute. II. Find the probability that at most 4 customers arrive in a given minute. I. In any given 4 minutes period, find w such that Р(X > w) Check the answer of part I and part ii using RStudio. = 0.0487. IV.
Transcribed Image Text:Q3 Customers arrive at a bank counter at an average rate of 3 customers per hour. a) Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model. c) Using your model, I. Find the probability that no customer arrive in a given minute. II. Find the probability that at most 4 customers arrive in a given minute. I. In any given 4 minutes period, find w such that Р(X > w) Check the answer of part I and part ii using RStudio. = 0.0487. IV.
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