 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2019/paper-2/14/d/i/solution

A uniform distribution has constant probability density on its interval, and the integral of that density must be one. The interval has length one, so

g (y) = {1, 0, - 1/2 \leq y \leq 1/2, otherwise .

Changing either endpoint value has no effect on the probability distribution.

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