 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-2/10/a/solution

Normalization of the probability density function requires

1 = α \int_{0}^{π} sin x d x = 2 α

. Thus

α = \frac{1}{2} .

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