1. According to AAA report in October 2021, the average price for a gallon of gasoline is $4.54 in California and is $3.65 in North Carolina. Suppose the standard deviation of gas price is $.82 in California and the standard deviation of gas price in North Carolina is $.6. Assume that these averages are the population means in the two states and that the probability distributions are normallyr distributed. Please also the following questions: a. What is the probability that a randomly selected gas station in California charges less than $4.30 per gallon? b. Wat percentage of the gas stations in North Carolina charge between $3.35 and $3.85 per gallon? c. 'What is the probability that a randomly selected gas station in North Carolina charged more than the mean price in California