Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2015 / Paper 2 / 14 / a

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- Solution a

Solution

A uniform distribution has constant density on its support, fixed by normalization. Thus

f_{1} (t) = {1/ T_{1}, 0, 0 < t < T_{1}, otherwise .

The density's assigned values at the endpoints do not affect probabilities.

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