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A-LevelMathematicsProbability and statisticsMay/June 2021Paper 6 Q15 Marks

The number of goals scored by a team in a match is independent of other matches, and is denoted by the random variable X, which has a Poisson distribution with mean 1.36. A supporter offers to make a donation of $5 to the team for each goal that they score in the next 10 matches. Find the expectation and standard deviation of the amount that the supporter will pay.

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The correct answer is . This question tests the candidate's understanding of probability and statistics within the Mathematicssyllabus. The examiner's mark scheme requires...

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Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) May/June 2021 examination, Paper 6 Variant 3. It tests the topic of Probability and statistics and is worth 5 marks.

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