Past exam of the year 1 of the computer science course of the University of Oxford / 2019 / Discrete mathematics, continuous mathematics, and probability resit / 9 / a / ii

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- Solution ii

Solution

Subtract the first three values of the probability mass function of the Poisson distribution from one:

P (X \geq 3) = 1 - e^{- 2} (1 + 2 + \frac{2 ^{2}}{2 !}) = 1 - 5 e^{- 2} \approx 0.323324.

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