 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ib/paper-3/20h/c/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-29

Let

z_{p}

denote the

p

-quantile of the standard normal distribution. Since the variance is known,

\frac{n ( X - μ )}{σ} \sim N (0, 1),

so a

100 (1 - α) %

\overline{X} \pm z_{1 - α /2} \frac{σ}{n} .

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