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The time needed to complete final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation

  1. The time needed to complete final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. If students have only 90 minutes to complete the exam, what percentage of the class will not finish the exam in time?

  1. In New York City the average hotel room costs $204 per night, with a standard deviation of $55. Suppose that you walk into a random hotel and learn their rate is $155 per night. If the rates are normally distributed, what is the probability that if you leave and walk into another random hotel, they will have a lower rate?

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