May/June 2026 Paper 63

2026 · 6 questions · 14 parts · 50 marks

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Finish set
Q1
1
–/3 mks
Q2
2(a)2(b)
–/6 mks
Q3
3
–/6 mks
Q4
4(a)4(b)4(c)4(d)
–/11 mks
Q5
5(a)5(b)5(c)5(d)
–/14 mks
Q6
6(a)6(b)
–/10 mks
Context for question 4
Cars arrive at a junction at a constant average rate of 3.2 per minute.
4(a)Poisson DistributionEasy1 mark
State a condition for the number of cars arriving per minute to have a Poisson distribution.

Answer

0 words
4(b)Poisson DistributionMedium3 marks
It is now given that the number of cars arriving per minute has the distribution . Find the probability that at least 4 cars arrive during a randomly chosen 3-minute period.
for a 3-minute period
Show your method
0 words
Probability
4(c)Poisson DistributionMedium2 marks
Given that at least 4 cars arrive during a particular randomly chosen 3-minute period, find the probability that exactly 5 cars arrive during this period.
Probability
4(d)Normal Distribution Normal ApproximationsHard5 marks
Use a suitable approximating distribution to find the probability that more than 60 cars arrive during a randomly chosen 20-minute period.
State the approximating distribution
0 words
Show your method
0 words
Probability