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Discrete random variables: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 5.4 Discrete random variables, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. 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
  2. Q6

    June 2024 · Paper 5

    The whole paper ↗
    June 2024 Paper 5, question 6: Harry has three coins: • One coin is biased so that the probability of obtaining a head when it is thrown is 3 1 . • The second coin is biased so that the proba
  3. Q3

    Specimen · Paper 5

    The whole paper ↗
    Specimen Paper 5, question 3: A book club sends 6 paperback and 2 hardback books to Mrs Hunt. She chooses 4 of these books at random to take with her on holiday. The random variable X repres
  4. 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
  5. 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 5 questions on Discrete random variables, as a list
  1. 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
  2. June 2024, Paper 5, Q6 (7 marks): Harry has three coins: • One coin is biased so that the probability of obtaining a head when it is thrown is 3 1 . • The second coin is biased so that the proba
  3. Specimen, Paper 5, Q3 (7 marks): A book club sends 6 paperback and 2 hardback books to Mrs Hunt. She chooses 4 of these books at random to take with her on holiday. The random variable X repres
  4. 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
  5. 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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