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2.4.12 Calculate probabilities from a Normal distribution (A-level only)

2.4.12 Calculate probabilities from a Normal distribution (A-level only)

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Question 62

The random variable MMM, representing the final mass of a specialty alloy piece in grams, is defined by the relation

M=5G+2S−3L M = 5G + 2S - 3L M=5G+2S−3L

where GGG, SSS, and LLL are independent random variables representing the masses of gold, silver, and the mass lost during smelting respectively, with

G∼N(15,0.82)S∼N(25,1.22)L∼N(10,0.52) G \sim \mathrm{N}(15, 0.8^2) \quad S \sim \mathrm{N}(25, 1.2^2) \quad L \sim \mathrm{N}(10, 0.5^2) G∼N(15,0.82)S∼N(25,1.22)L∼N(10,0.52)

Find P(M>104.8)P(M > 104.8)P(M>104.8).

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2.4.12 Calculate probabilities from a Normal distribution (A-level only) Questions

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149 exam-style questions on OCR (MEI) A Level Maths 2.4.12 Calculate probabilities from a Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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