 Solution

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

\overset{x}{ˉ} = 0.7

. The method of moments equates this to the expected value from part (b):

0.7 = \frac{θ + 1}{θ + 2}, θ = \frac{2 x ˉ - 1}{1 - x ˉ} .

Hence the estimate is $θ = 4/3 \approx 1.33$ .

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