Hva er eksponensialfordelingen X∼Exp(λ)X \sim \text{Exp}(\lambda)X∼Exp(λ)?
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f(x)=λe−λxf(x) = \lambda e^{-\lambda x}f(x)=λe−λx for x≥0x \geq 0x≥0. E[X]=1/λE[X] = 1/\lambdaE[X]=1/λ, Var(X)=1/λ2\text{Var}(X) = 1/\lambda^2Var(X)=1/λ2. Minneløs: P(X>s+t∣X>s)=P(X>t)P(X > s+t | X > s) = P(X > t)P(X>s+t∣X>s)=P(X>t).
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