In a school with a large number of students, $p\%$, where $p40$, of its students study

Question

In a school with a large number of students, $p\%$, where $p>40$, of its students study H2 Biology. In a random sample of $40$ students, the probability of no less than nine but no more than twenty students studying H2 Biology is $0.25$. Find the value of $p$.[3]

It is given that $p=60$. A group of $12$ randomly chosen students are to attend an interview session at a meeting room, with only one interviewee being interviewed at a time. Find the probability that the third and tenth interviewee are the first and fourth students respectively among them studying H2 Biology.[3]

Accepted Answer

${56.5	ext{ (}3	ext{ s.f.)}; 	ext{Required probability} = 0.00796	ext{ (}3	ext{ s.f.)}}$

2023 HCI P2 Q7

2023 HCI P2 Q7

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