It is known that $p\%$ of college students in Singapore score distinction for their Mathematics fi

Question

It is known that $p\%$ of college students in Singapore score distinction for their Mathematics final year examination. Given the probability that at least $2$ students out of $10$ randomly chosen students score distinction for their Mathematics final year examination is $0.95$, form an equation in terms of $p$ and hence find the value $p$.[3]

Accepted Answer

(a) $\left(1-\frac{p}{100}\right)^{10}+10\frac{p}{100}\left(1-\frac{p}{100}\right)^9=0.05$, $p\approx39.4$ (that is, $39.4\%$).

2015 MJC P2 Q6

2015 MJC P2 Q6

Solution:

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