I’m a Maths teacher for IAL Further Maths. One of my students has submitted this response to part d of this exam question. I’m not sure if their solution is acceptable or not. I’d be very grateful if anyone could offer an informed opinion on this.
2026-03-31 06:26:35.1774938395
Normal approximation to a Poisson distribution
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It's wrong; in the second line, the student tries to solve
$$\mathbb P(C \ge x) \cdot 60 \cdot 90 > 5000,$$ when they should compute $$\mathbb P(C > 5000/60)$$
obtaining the number $5000/60\approx 83.3$ in the mark scheme. I get the impression the student was working backwards from the correct answer; they do happen to give the correct numerical value, but the argument is nonsense.