How to Calculate and Solve for Poisson Probability Distribution | Probability
Last Updated on March 29, 2024
The image above represents Poisson probability distribution. To calculate Poisson probability distribution, two essential parameters are needed: Mean of the Theoretical Distribution (μ) and Number of successes of event A (r).
The formula for Poisson probability distribution:
P(x = r) = e-μ(μr) ⁄ r!
Where;
P(x = r) = Poisson Probability Distribution
r = Number of Successes of Event A
μ = Mean of the Theoretical Distribution
Let’s solve an example;
Find the poisson probability distribution when the mean of the theoretical distribution is 12 and the number of successes of event A is 6.
This implies that;
r = Number of Successes of Event A = 6
μ = Mean of the Theoretical Distribution = 12
P(x = r) = e-μ(μr) ⁄ r!
P(x = r) = e-12(12)6 ⁄ 6!
So, P(x = r) = (0.00000614)(2985984) ⁄ (720)
P(x = r) = 0.025
Therefore, the Poisson probability distribution is 0.025.
Read more: How to Calculate and Solve for General Binomial Distribution | Probability
How to Calculate Poisson Probability Distribution Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the poisson probability distribution.
To get the answer and workings of the poisson probability distribution using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Probability under Mathematics.
Now, Click on Poisson Probability Distribution under Probability
The screenshot below displays the page or activity to enter your values, to get the answer for the poisson probability distribution according to the respective parameters which are the Mean of the Theoretical Distribution (μ) and Number of successes of event A (r).
Now, enter the values appropriately and accordingly for the parameters as required by the Mean of the Theoretical Distribution (μ) is 12 and Number of successes of event A (r) is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the poisson probability distribution and presents the formula, workings and steps too.
