Question: Rental car fleet evaluation. National Car Rental Systems, Inc., commissioned the U.S. Automobile Club (USAC) to conduct a survey of the general condi-tion of the cars rented to the public by Hertz, Avis, National, and Budget Rent-a-Car.* USAC officials evaluate each company's cars using a demerit point sys-tem. Each car starts with a perfect score of 0 points and incurs demerit points for each discrepancy noted by the inspectors. One measure of the overall condition of a company's cars is the mean of all scores received by the company (i.e., the company's fleet mean score). To estimate the fleet mean score of each rental car com-pany, 10 major airports were randomly selected, and 10 cars from each company were randomly rented for inspection from each airport by USAC officials (i.e., a sample of size n = 100 cars from each company's fleet was drawn and inspected).

1. Describe the sampling distribution of \(\bar{x}\) , the mean score of a sample of n = 100 rental cars.
2. Interpret the mean of \(\bar{x}\) in the context of this problem.
3. Assume \(\mu \) = 30 and \(\sigma \) = 60 for one rental car com-pany. For this company, find P( \(\bar{x}\) ≥ 45).

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