May/June 2026 Paper 53

2026 · 6 questions · 17 parts · 50 marks

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Finish set
Q1
1(a)1(b)1(c)
–/6 mks
Q2
2(a)2(b)
–/6 mks
Q3
3(a)3(b)3(c)
–/8 mks
Q4
4(a)4(b)4(c)
–/9 mks
Q5
5(a)5(b)5(c)
–/11 mks
Q6
6(a)6(b)6(c)
–/10 mks
Context for question 5
The lengths of Indian cobra snakes are normally distributed with mean cm and standard deviation cm.
5(a)Normal Distribution Normal ApproximationsMedium3 marks
Find the probability that a randomly chosen Indian cobra has a length between cm and cm.
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Probability
5(b)Normal Distribution Normal ApproximationsMedium3 marks
The masses of Indian cobras are normally distributed with mean kg and standard deviation kg. It is known that of Indian cobras have a mass less than kg.
Find the value of .
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5(c)Normal Distribution Normal ApproximationsHard5 marks
A random sample of 80 Indian cobras is taken.
Use an approximation to find the probability that fewer than 60 of these 80 Indian cobras have a mass less than kg.
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Probability