CAIE A-Level Mathematics 5.5.1 Normal Distribution

CAIE A-Level Mathematics 5.5.1 Normal Distribution
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise modelling continuous measurements with a normal curve, shading probability regions and using symmetry or standard-normal tables for intervals measured from the mean.

How this is tested

  • sketch a symmetric normal curve and mark the mean, bounds and required probability region
  • standardise bounds measured from the mean and use Φ values with the correct tail or interval
  • multiply the resulting probability by the sample size to obtain an expected frequency

Question 6(c)

[Maximum number: 4]

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.

In a random sample of 365 days, on how many days would you expect the mass of grapes sold to be within 1.3 standard deviations of the mean?