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8. Assume the distribution of caffeine in a cup of coffee is Normally distribute

ID: 3059220 • Letter: 8

Question

8. Assume the distribution of caffeine in a cup of coffee is Normally distributed A cup of coffee has 140mg of caffeine on average with a standard deviation of 20mg. a) What is the probability that a single cup of coffee has more than 150mg b) What is the probability that a single cup of coffee has between 90 and 150mg? e) A coffee company decides that they will refund a customers money if the coffee doesn't haven't enough caffeine. What should they choose as a cutoff if they want to provide refunds just 1% of the time?

Explanation / Answer

8. Assume the distribution of caffeine in a cup of coffee is Normally distributed A cup of coffee has 140mg of caffeine on average with a standard deviation of 20mg. a) What is the probability that a single cup of coffee has more than 150mg b) What is the probability that a single cup of coffee has between 90 and 150mg? e) A coffee company decides that they will refund a customers money if the coffee doesn't haven't enough caffeine. What should they choose as a cutoff if they want to provide refunds just 1% of the time?

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