CAIE A-Level Mathematics A2 6.1.1 Poisson Probabilities Questions
Practise modelling event counts with the Poisson distribution and calculating related probabilities.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
Exam points
- identify and apply Poisson distribution models
- calculate Poisson probabilities and unknown parameters
- use Poisson assumptions to solve event-count problems
CAIE A-Level Mathematics A2 6.1.1 Poisson Probabilities Questions question 1
[Maximum number: 3]
Sales of cell phones at a certain shop occur singly, randomly and independently.
Find the probability that the number of sales during a randomly chosen 12 -hour period will be more than 12 and less than 16 .
=14.4
e^-14.4(14.4^1313!+14.4^1414!+14.4^1515!)
or e^-14.4(183837+189089+181526)
or (0.102469+0.105396+0.101181)
Poisson P(13,14,15). Expression must be seen.
Allow one end error;
allow any . Allow fully correct sigma
notation.
=0.309(3 sf)
SC: 0.309 with no working scores B1 B1.
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