poisson distributions

BINOMIAL DISTRIBUTIONS : Mean & Standard Deviation

POISSON DISTRIBUTIONS :

Harikrishnan VCheckout Line

Checkout Line

Graphing the Checkout Line Problem in Excel

Poisson Distribution

Poisson Characteristics

Expected no. of occurences are assumed to be constant throughout the experiment : This is something we got to assume . During the 15-minute period we expect 10 customers . So , we kind of assume those 10 customers arrived on line evenly. But , in real life , that may not be the case.

In our type of queueing problems , there will be a Constant arrival rate or a constant service rate.

An example of Constant Service Rate is the Automatic Car Wash When u drive your car into a car wash , the car moves akong the car wash at a const speed , and every car goes through it it at the same speed ; In that case , the service of the car wash is constant .

But In the checkout line , People are gonna arrive at different times.But since we are dealing with this interval , it really doesnt matter.We are assuming everyone is arriving at even times.6Poisson Formula

Probability of Exactly 7 Customers

Poisson Customer Arrivals

Finding The Poisson EXACT Probability in Calculator T1-83

Poisson Customer Arrivals (More than 10)

Probability of More than 10 Customers

12Poisson Customer Arrivals (More than 10)

To find the cumulative probability (which is in Purple) , we use the poissoncdf function.The CDF Version (Cumulative) will give the Cumulative probability all the way from 0 upto whatever number we specify )(in this case 10)The PDF version gives us the EXACT probability at any given exact outcome.13Answer Summary

Bonus Question

Graphing the Problem in Excel