Poisson Cumulative Probability
Find the probability of at most k Poisson events.
Your numbers
At most k events
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
P(X≤k)=1−P(k+1,λ)
Find the probability of at most k Poisson events.
Worked example
- Expected events λ
- 3
- Maximum count k
- 2
- At most k events
- 42.3190081127 %
- More than k events
- 57.6809918873 %
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 5c2f4a50a7b2 · Example checked: