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A-LevelMathematicsProbability and statistics9709/63 · May/June 2024 · Q35 Marks

The masses in kilograms of large and small bags of cement have the independent distributions N(50, 2.4) and N(26, 1.8) respectively. Find the probability that the total mass of 5 randomly chosen large bags of cement is greater than the total mass of 10 randomly chosen small bags of cement.

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [B1] For N and mean = ±(5×50 – 10×26) SOI
  2. [B1] For var = 5×2.4 + 10×1.8 SOI
  3. [M1] (0-('-10'))/√'30'
  4. [M1] 1 – Ф('1.826')
  5. [A1] = 0.0339 or 0.034[0] (3sf)

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2024 Paper 6 Variant 3, question 3.

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