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A-LevelMathematicsProbability and statisticsMay/June 2021Paper 6 Q48 Marks

Wendy's journey to work consists of three parts: walking to the train station, riding on the train and then walking to the office. The times, in minutes, for the three parts of her journey are independent and have the distributions N(15.0, 1.1²), N(32.0, 3.5²) and N(8.6, 1.2²) respectively. If Wendy's journey takes more than 60 minutes, she is late for work.

📋 Examiner Report & Trap Analysis

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...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Mathematics Question

Topic

This structured question tests Probability and statistics in A-Level Mathematics (syllabus code 9709). It is worth 8 marks.

Source

This question appeared in the Cambridge A-Level Mathematics May/June 2021 examination, Paper 6 Variant 2.

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