 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2014/paper-2/10/b/solution

Integrate the probability density function over the specified interval:

P (2 \leq X \leq 3) = \int_{2}^{3} α x^{- α - 1} d x = 2^{- α} - 3^{- α} .

The endpoint inclusions make no difference for this continuous distribution.

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