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Linear combinations of random variables: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 6.2 Linear combinations of random variables, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. June 2024 Paper 6, question 1: A bus station has exactly four entrances. In the morning the numbers of passengers arriving at these entrances during a 10-second period have the independent di
  2. Q2

    June 2024 · Paper 6

    The whole paper ↗
    June 2024 Paper 6, question 2: ` j. Two independent random values of X, 2 The random variable X has the distribution N 31 2 10 4 . , . 2 denoted by X1 and X2, are chosen. Find ( P X 2 3 X ) .
  3. Q4

    Specimen · Paper 6

    The whole paper ↗
    Specimen Paper 6, question 4: The lifetimes, in hours, of Longlive light bulbs and Enerlow light bulbs have the independent distributions N(1020, 452) and N(2800, 522) respectively. (a) Find
All 3 questions on Linear combinations of random variables, as a list
  1. June 2024, Paper 6, Q1 (3 marks): A bus station has exactly four entrances. In the morning the numbers of passengers arriving at these entrances during a 10-second period have the independent di
  2. June 2024, Paper 6, Q2 (5 marks): ` j. Two independent random values of X, 2 The random variable X has the distribution N 31 2 10 4 . , . 2 denoted by X1 and X2, are chosen. Find ( P X 2 3 X ) .
  3. Specimen, Paper 6, Q4 (10 marks): The lifetimes, in hours, of Longlive light bulbs and Enerlow light bulbs have the independent distributions N(1020, 452) and N(2800, 522) respectively. (a) Find

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