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The normal distribution: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 5.5 The normal distribution, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. Q2

    June 2024 · Paper 5

    The whole paper ↗
    June 2024 Paper 5, question 2: The lengths of the tails of adult raccoons of a certain species are normally distributed with mean 28 cm and standard deviation 3.3 cm. (a) Find the probability
  2. Q5

    June 2024 · Paper 5

    The whole paper ↗
    June 2024 Paper 5, question 5: In a certain area in the Arctic the probability that it snows on any given day is 0.7, independent of all other days. (a) Find the probability that in a week (7
  3. Q4

    Specimen · Paper 5

    The whole paper ↗
    Specimen Paper 5, question 4: A petrol station finds that its daily sales, in litres, are normally distributed with mean 4520 and standard deviation 560. (a) Find on how many days of the yea
  4. Q5

    Specimen · Paper 5

    The whole paper ↗
    Specimen Paper 5, question 5: A fair six-sided die, with faces marked 1, 2, 3, 4, 5, 6, is thrown 90 times. (a) Use an approximation to find the probability that a 3 is obtained fewer than 1
All 4 questions on The normal distribution, as a list
  1. June 2024, Paper 5, Q2 (7 marks): The lengths of the tails of adult raccoons of a certain species are normally distributed with mean 28 cm and standard deviation 3.3 cm. (a) Find the probability
  2. June 2024, Paper 5, Q5 (10 marks): In a certain area in the Arctic the probability that it snows on any given day is 0.7, independent of all other days. (a) Find the probability that in a week (7
  3. Specimen, Paper 5, Q4 (10 marks): A petrol station finds that its daily sales, in litres, are normally distributed with mean 4520 and standard deviation 560. (a) Find on how many days of the yea
  4. Specimen, Paper 5, Q5 (7 marks): A fair six-sided die, with faces marked 1, 2, 3, 4, 5, 6, is thrown 90 times. (a) Use an approximation to find the probability that a 3 is obtained fewer than 1

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