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Poisson Distribution Explorer


Modify Parameters and See Results

Number of events in a fixed interval

Parameters

Rate Parameter (λ)
3.00

Average number of events occurring in the fixed interval

Mean = Variance (E[X] = Var(X))
3.00

Unique property: mean equals variance

Standard Deviation (σ)
1.73

Measure of spread, equal to √λ

Statistics

Expected Value
3.0000
Variance
3.0000
Std Deviation
1.7321
Mode
3

Probability Calculator

Key Properties

Real-World Applications

  • Number of customer arrivals per hour at a store
  • Number of phone calls received at a call center per minute
  • Number of defects per manufactured item
  • Number of emails received per day
  • Number of radioactive decays per second
  • Number of accidents at an intersection per month

Understanding the Distribution
Key Parameters
Applications






Understanding the Distribution


Key Parameters


Applications