According to the U.S. Energy Information Adminis-tration, regular gasoline averaged $2.65 per gallon in the United States in April 2018. Assume the standard deviation for gasoline prices is $0.12 per gallon. A random sample of 30 service stations was selected. a. What is the probability that the sample mean will be less than $2.66? b. What is the probability that the sample mean will be more than $2.63? c. What is the probability that the sample mean will be between $2.62 and $2.72? d. Suppose the sample mean is $2.71. Does this result support the findings of the U.S. Energy Informa-tion Administration? Explain your answer.