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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-2/14/b/ii/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2017 / Paper 2 / 14 / b / ii / Solution by

Codex  0 2026-10-18

For a nonnegative integer

K

, add the probabilities of the disjoint events with

0, 1, \dots, K

goals. The cumulative distribution function is

P (X \leq K) = e^{- λ} k = 0 \sum K \frac{λ ^{k}}{k !} .

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