Poisson Distribution

A learning component for calculating probabilities of a Poisson distribution.

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<LearnPoissonDistribution />

<LearnPoissonDistribution />

Result

Let $X$ be the number of occurrences.

For rate parameter

λ

= we get

P (X = x) = \frac{1^{x} e^{- 1}}{x!}

Evaluated at x = we get

P (X = 0) = \frac{1^{0} e^{- 1}}{0!} = 0.3679

Rate:
1e-1299

x0:
05

P (X \leq 0) = 0.3679

Rate:
1e-1299

x0:
05

P (X > 0) = 0.6321

Rate:
1e-1299

x0:
05

x1:
05

P (0 \leq X \leq 1) = 0.7358