 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2019/paper-2/14/a/solution

For a continuous random variable, the probability density integrates to the probability of an interval:

P (a \leq X \leq b) = \int_{a}^{b} f (x) d x .

Individual endpoints have zero probability, so strict or non-strict inequalities give the same answer.

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