In: Statistics and Probability
The average gas mileage of a certain model car is 28.0 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 0.4 miles per gallon, find the probability that a car has a gas mileage of between 26.8 and 27.2 miles per gallon. In addition to the answer, please write out your steps and thoughts that led you to your answer.