Mathematics (AS & A Level) · May / June 2022 · Paper 61 · Question 3
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The lengths, in centimetres, of two types of insect, A and B, are modelled by the random variables X ∼N6.2, 0.36 and Y ∼N2.4, 0.25 respectively. Find the probability that the length of a randomly chosen type A insect is greater than the sum of the lengths of 3 randomly chosen type B insects. [5]
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