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The average number of miles between oil changes for vehicles serviced in one large facility is 6520 with a standard deviation of 1100 miles. A

The average number of miles between oil changes for vehicles serviced in one large facility is 6520 with a standard deviation of 1100 miles. A random sample of 50 vehicles serviced at this facility is taken.

1. Calculate the probability that the sample mean is more than 6800.

2. Calculate the probability that the sample mean is less than 6700.

3. Calculate the probability that the sample mean is between 6200 and 6400.

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