A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the actual capacity of a randomly selected tank has a distribution that is approximately normal with a mean of 15.10 gallons and a standard deviation of 0.10 gallons. What proportion of tanks will hold between 14.75 and 15.10 gallons of gas?
If four tanks are randomly selected, what is the probability that their average capacity will be between 14.75 and 15.10 gallons?
All answers to 4 decimal places please.