No Poisson arrival in a window

Buses arrive as a Poisson process at rate λ=3\lambda = 3 per hour. What is the probability that no bus arrives in a 2020-minute window? (to 3 decimals)

Show hints (2)+
  1. Find the mean count $\lambda t$ for the window.
  2. $P(0) = e^{-\lambda t}$.

Answer

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0.368 (± 0.01)

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Asked at: Optiver, IMC

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