 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-oxford/2023/prelims/mathematics-iii/6/a/i/solution

F_{X} (x) = P (X \leq x) = \int_{- \infty}^{x} f (t) d t .

The total integral of the nonnegative probability density function is one.

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