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Practice | SPM Add Math

SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Sebuah kelab kecergasan mempunyai 300 orang ahli. Masa yang diambil oleh seorang ahli untuk menamatkan larian 5 km adalah bertabur secara normal dengan min 30 minit dan sisihan piawai $\sigma$ minit. Diberi bahawa $15.87\%$ daripada ahli-ahli itu mengambil masa melebihi 37 minit untuk menamatkan larian itu.

Pingat diberikan kepada 60 orang ahli yang terpantas, iaitu kepada setiap ahli yang menamatkan larian itu dalam masa kurang daripada $h$ minit. Cari nilai $\sigma$, dan seterusnya cari nilai $h$. Berikan nilai $h$ betul kepada satu tempat perpuluhan.

English
A fitness club has 300 members. The time taken by a member to complete a 5 km run is normally distributed with a mean of 30 minutes and a standard deviation of $\sigma$ minutes. It is given that $15.87\%$ of the members take more than 37 minutes to complete the run.

Medals are awarded to the 60 fastest members, that is, to every member who completes the run in less than $h$ minutes. Find the value of $\sigma$, and hence find the value of $h$. Give the value of $h$ correct to one decimal place.
[5 marks]
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Modelled on SBP trial · Kertas 2 · Q9(b)

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Modelled on SBP trial · Kertas 2 · Q9(b)

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Chapter 3
Permutations and Combinations
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