A service station near an interstate highway sells three grades of gasoline: regular, plus, and premium. During the last week, the manager counted the number of cars that purchased these types of gasoline. He kept the counts separate for weekdays and the weekend. The accompanying data table has two categorical variables. One distinguishes weekdays from weekends, and the other indicates the type of gas (regular, plus, or premium). Complete parts (a) through (e) below. a Click the icon to view the data table. (a) Find the contingency table dened by the day of the week and the type of gas. Include the marginal distributions. Complete the contingency table below, using counts throughout. (b) Find the conditional distribution of purchase type for weekday purchases. Complete the table below. Weekday Premium Gas Type Plus Regular (Round to one decimal place as needed.) (c) Find the conditional distribution of premium purchases during the week and weekend. Complete the table below. Day of Week Weekday Weekend Premium 9% (Round to one decimal place as needed.)