Mathematics (AS & A Level) · May / June 2026 · Paper 65 · Question 2
9709
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The volumes of regular and large coffees at a certain café have independent normal distributions. The mean and standard deviation of the volumes of regular coffees are 215 cm3 and 2.8 cm3 respectively. The mean and standard deviation of the volumes of large coffees are 330 cm3 and 3.3 cm3 respectively. Find the probability that the total volume of three randomly chosen regular coffees is greater than the total volume of two randomly chosen large coffees. [5]
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