 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-2/14/a/i/solution

Let

N_{L}

count successful lemon seeds. By independence it has a binomial distribution with five trials and success probability

y

. Therefore

P (N_{L} = 2) = (2 5) y^{2} (1 - y)^{3} = 10 y^{2} (1 - y)^{3} .

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