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John runs an automatic car wash at his gas station. John found that it takes on...

John runs an automatic car wash at his gas station. John found that it takes on average 3 minutes with a standard deviation 2.5 minutes to wash a car. He observed the car wash time of 45 randomly selected cars.

a. Find the probability that the average wash time of these 45 selected cars is greater than 3.5 minutes.

b. Find the probability that the average wash time of these 45 selected cars is between 3.7 and 4.2 minutes.

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