 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2006/paper-2/8/c/i/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

The function is a probability density function, rather than a cumulative distribution: its integral over both intervals must be one. Thus

2 α + 2 α = 1

and

α = \frac{1}{4} .

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