Mathematics (AS & A Level) · May / June 2023 · Paper 63 · Question 4
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The mass, in tonnes, of steel produced per day at a factory is normally distributed with mean 65.2 and standard deviation 3.6. It can be assumed that the mass of steel produced each day is independent of other days. The factory makes $50 profit on each tonne of steel produced. Find the probability that the total profit made in a randomly chosen 7-day week is less than $22 000. [6]
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