 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2012/paper-1/18/b/i/solution

Interpreting

f

α \leq β

one has

P (α \leq X \leq β) = \int_{α}^{β} f (x) d x .

A single point has zero probability, so including or excluding either endpoint does not change this result.

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