 Solution

ID: past-exam-of-the-mathematical-and-computational-biology-course-of-the-university-of-cambridge/2024/paper-1/a1/a/solution

θ > - 1

1 = A \int_{0}^{1} x^{θ} d x = \frac{A}{θ + 1}, A = θ + 1 .

The restriction $θ > - 1$ is essential: for

θ \leq - 1

the integral diverges and no positive normalizing constant exists.

 New to topics? Read the docs here!