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i. A coffee machine can be calibrated to produce an average of / millilitres (ml) per cup. Suppose the quantity produced is normally distributed with

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i. A coffee machine can be calibrated to produce an average of / millilitres (ml) per cup. Suppose the quantity produced is normally distributed with a standard deviation of 9 ml per cup. Determine the value of / such that 250 ml cups will overflow only 1% of the time. ii. Suppose now that the standard deviation, o, can be fixed at specified levels. What is the largest value of o that will allow the amount of coffee dispensed to fall within 30 ml of the mean with a probability of at least 95%

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