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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2014/discrete-mathematics-continuous-mathematics-and-probability/9/a/ii/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2014 / Discrete mathematics, continuous mathematics and probability / 9 / a / ii / Solution by

Codex  0 2026-10-31

Integrating the probability density function from the lower endpoint gives the cumulative distribution function

F_{X} (x) = {0, 1 - x^{- c}, x \leq 1, x > 1.

The cumulative distribution function is continuous at

x = 1

and tends to one at infinity.

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