🎲
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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