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

Given: Average rate of 3 customers per hour.

Answered: I want a FULL answer with explanation…

Math

Probability

I want a FULL answer with explanation for parts iii and IV

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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I want a FULL answer with explanation for parts iii and 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.
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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