 Solution

ID: 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/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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