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The combined gas mileage of mid-size cars varies with mean 25 miles per gallon (mpg) and...

The combined gas mileage of mid-size cars varies with mean 25 miles per gallon (mpg) and a standard deviation of about 5.3 mpg. A particular rental car agency typically has 88 midsize cars in its lot. Assume the distribution of combined gas mileage of mid-size cars is Normal.

  1. Find the probability that the combined gas mileage for a randomly selected car in the lot is higher than 25 mpg.

  2. Find the probability that the mean combined gas mileage for all cars in the lot is between 26 and 27 mpg.

  3. Find the probability that the mean combined gas mileage for all cars in the lot is lower than 25.5 mpg.

  4. Find the probability that the mean combined gas mileage for all cars in the lot is 25 mpg.

  5. Would you be surprised to find that the mean combined gas mileage for all cars in the lot is 26 mpg? Explain.

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