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Question The distribution of car speeds on a certain highway is normally distributed with a mean of 68 miles per hour, and a standard deviation

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Question The distribution of car speeds on a certain highway is normally distributed with a mean of 68 miles per hour, and a standard deviation of 4 miles per hour. (a) What is the probability that a car travels between 65 and 75 miles per hour? (b) What is the probability that a car travel faster than 70 miles per hour? (c) The speed limit on this highway is 70 miles per hour. Suppose a patrol ofcer randomly checks the speed of 5 drivers. What is the probability that at least 2 of them are driving faster than the speed limit? ((1) Find the cutoff for the highest 20% of car speeds on this highway (i.e., nd the 80th percentile)

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