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Poisson Distribution

★★★☆☆High School

📖Definition

A distribution modeling the number of rare events occurring in a fixed interval of time or space.

📐Formulas

P(X = k) = \fracλ^k e^-λk!

Poisson PMF

E[X] = λ, Var(X) = λ

Expected value and variance (both λ)

✏️Examples

예제 1★★★☆☆

A call center averages 3 calls/hour. Find P(exactly 5 calls).

Applications

Insurance

Accident frequency

Telecom

Network traffic

Biology

Mutation occurrence

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