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Mathematics (AS & A Level) · May / June 2020 · Paper 63 · Question 2

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Each day at the gym, Sarah completes three runs. The distances, in metres, that she completes in the three runs have the independent distributions W ∼N1520, 450 , X ∼N2250, 720 and Y ∼N3860, 1050 . Find the probability that, on a particular day, Y is less than the total of W and X. [5]

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