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

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- Solution 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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