CAIE A-Level Mathematics A2 5.5.2 Problems Concerning a Variable X Questions
Practise calculating probabilities and quantiles from normal distribution models.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
Exam points
- standardise normal variables and use normal tables
- calculate tail and interval probabilities
- find unknown means or standard deviations from normal probabilities
CAIE A-Level Mathematics A2 5.5.2 Problems Concerning a Variable X Questions question 1
[Maximum number: 3]
The mass of grapes sold per day by a large shop can be modelled by a normal distribution with mean 28 kg . On 10 % of days less than 16 kg of grapes are sold.
Find the standard deviation of the mass of grapes sold per day.
Given P(X<16)=0.1,
σ16−28=−1.282.
Hence,
σ=9.36 kg.
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