CAIE A-Level Mathematics AS 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
AS

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 AS 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.

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