poisson distributions
DESCRIPTION
PPT on Poisson DistributionsTRANSCRIPT
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