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Kako izračunati Poisson Distribution

Što je Poisson Distribution?

The Poisson distribution models the number of events in a fixed interval given average rate λ. P(X=k) = (e^−λ × λᵏ) / k!. Both the mean and variance equal λ.

Vodič korak po korak

  1. 1P(X=k) = (e^−λ × λᵏ) / k!
  2. 2λ = average number of events per interval
  3. 3Events must be independent and occur at constant average rate

Worked Examples

Unos
λ=3 calls/min · P(exactly 5 calls)
Rezultat
P = e^−3 × 3⁵/120 ≈ 10.1%
Classic Poisson application

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