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10 cards from this deck
Poisson distribution
P(X=x)=e−λλxx!P(X = x) = \frac{e^{-\lambda}\lambda^x}{x!}P(X=x)=x!e−λλx
X∼Po(λ)X \sim \text{Po}(\lambda)X∼Po(λ)
Mean = variance = λ\lambdaλ
RICE: Random, Independent, Constant rate, Events don't overlap
Check if mean ≈ variance
X+Y∼Po(λx+λy)X + Y \sim \text{Po}(\lambda_x + \lambda_y)X+Y∼Po(λx+λy)
nλn\lambdanλ
Mean number of occurrences in the given interval
λ\sqrt{\lambda}λ
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