## Question

###### 5. A trucking company determined that, onan annual basis, the distance traveled per truck is normallydistributed with a mean of 60 thousand miles and a populationstandard deviation of 16 thousand miles. If a sample of 16 trucksis selected,(a) What is the probability that the average distance traveledis less than 58 thousandmiles? (b) What is the probability that the average distance traveledis more than 62 thousand miles?(c) What is the probability that the average distance traveledis betwe

5. A trucking company determined that, on an annual basis, the distance traveled per truck is normally distributed with a mean of 60 thousand miles and a population standard deviation of 16 thousand miles. If a sample of 16 trucks is selected, (a) What is the probability that the average distance traveled is less than 58 thousand miles? (b) What is the probability that the average distance traveled is more than 62 thousand miles? (c) What is the probability that the average distance traveled is between 58 thousand miles and 62 thousand miles? (d) Do we need the Central Limit Theorem to solve (a), (b), and (c)? Why or why not? Explain.

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