 Solution

ID: 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/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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