Statistics

Poisson Probability Calculator

Calculate exact and cumulative Poisson event probabilities.

Poisson Probability Calculator evaluates probabilities for event counts over fixed intervals with known average rate. It is useful for queueing, defect counts, and arrival modeling. The tool gives exact probabilities for specific count outcomes. Use it when events are independent and rate is approximately stable.

Poisson Inputs

Result

P(X = k): 0.1849589735

P(X ≤ k): 0.3208471989

How to use this tool

Enter average event rate and target event count.
Run calculation for exact and cumulative probabilities.
Compare multiple count thresholds for planning decisions.

Probability and statistics resources

Recommend probability textbooks, exam prep tools, and statistics software.

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