 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-4/28k/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Generate

U \sim Uniform [0, 1]

and set

X = - lo g U .

For

x \geq 0

P (X \leq x) = P (U \geq e^{- x}) = 1 - e^{- x},

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