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A-LevelMathematicsProbability and statistics9709/63 · Oct/Nov 2017 · Q12 Marks

A statistics student asks people to complete a survey. The probability that a randomly chosen person agrees to complete the survey is 0.2. Find the probability that at least one of the first three people asked agrees to complete the survey.

  1. A statistics student asks people to complete a survey. The probability that a randomly chosen person agrees to complete the survey is 0.2. Find the probability that at least one of the first three people asked agrees to complete the survey.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [M1] Fully correct unsimplified expression 1 – (0.8)³ ΟΕ
  2. [A1] = 0.488 (61/125)
  3. [M1] Unsimplified correct 3 term expression
  4. [A1] = 0.488 (61/125)
  5. [M1] Unsimplified sum of 3 correct terms
  6. [A1] = 0.488 (61/125)

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 2 marks.
Source
A-Level Mathematics, Oct/Nov 2017 Paper 6 Variant 3, question 1.

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