Question: The gas tanks of SAAB 9-3 vehicles are designed to have a capacity of 15 gallons. However, because of manufacturing, there is variability from gas tank to gas tank. The capacities for SAAB gas tanks vary according to the normal distribution with a mean of 15 gallons and a standard deviation of 0.10 gallons. Letting X represent the capacity of a randomly selected gas tank produced by SAAB, answer the following:

1. What is the probability that the gas tank's capacity is above 15.25 gallons?
2. What is the probability that the tank's capacity falls somewhere between 14.9 gallons and 15.1 gallons?
3. What's the probability that the tank's capacity is below 15 gallons or above 15.2 gallons?
4. How large would the tank's capacity need to be for it to qualify as one of the 15% largest of all gas tanks produced for these vehicles?
5. 95% of all of SAAB's gas tanks have capacities between ____ and ______ gallons.

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