Probability
Poisson Distribution Formula - Probability
Learn the poisson distribution formula with examples, step-by-step guide, and calculator tools. Calculate probability of k events in a fixed interval
The poisson distribution formula is a fundamental concept in probability. Calculate probability of k events in a fixed interval. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}\]
Variables
P(X=k)
Probability of k events
λ
Average rate of events
k
Number of events
e
Euler's number (2.71828)
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [5,3] → P(X=3) = 5³ × e⁻⁵ / 3! = 0.140
Example 2
Example 2: 0.14
Frequently Asked Questions
What is the poisson distribution formula?
Calculate probability of k events in a fixed interval
How do I calculate poisson distribution formula?
Use the formula: P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}. Follow the steps provided above.
What tools can help with poisson distribution formula?
We provide online calculators: statistics-calculator