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.

Grade of Gasoline Type of Day Premium Weekend Premium Weekday Premium Weekday Plus Weekend Premium Weekend Premium Weekday Regular Weekend Premium Weekend Plus Weekday Premium Weekend Regular Weekday Regular Weekend Plus Weekday Premium Weekend Premium Weekday Premium Weekday Plus Weekday Premium Weekday Regular Weekday Premium Weekend Premium Weekday Plus Weekday Premium Weekend Regular Weekend Premium Weekend Premium Weekday Premium Weekend Regular Weekend Regular Weekday Plus Weekday Plus Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Regular Weekend Premium Weekday Premium Weekday Premium Weekday Regular Weekend Premium Weekend Regular Weekday Premium Weekend Plus Weekend Plus Weekend Premium Weekend Premium Weekday Premium Weekday Premium Weekday Plus Weekday Plus Weekday Regular Weekday Regular Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Regular Weekday Plus Weekend Premium Weekend Regular Weekday Regular Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekend Premium Weekday Premium Weekend Premium Weekday Premium Weekend Regular Weekend Regular Weekend Premium Weekend Premium Weekend Regular Weekend Premium Weekend Premium Weekday Plus Weekday Premium Weekday Premium Weekend Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekend Premium Weekend Premium Weekday Premium Weekday Plus Weekend Regular Weekday Regular Weekday Premium Weekday Regular Weekend Premium Weekday Plus Weekend Premium Weekend Premium Weekday Premium Weekend Premium Weekday Premium Weekday Plus Weekday Premium Weekday Regular Weekday Premium Weekday Regular Weekend Regular Weekday Premium Weekday Regular Weekday Premium Weekday Premium Weekday Premium Weekend Premium Weekday Premium Weekday Premium Weekday Regular Weekday Plus Weekend Premium Weekend Plus Weekday Premium Weekday Premium Weekday Regular Weekday Premium Weekend Premium Weekday Premium Weekday Plus Weekday Premium Weekday Premium Weekend Premium Weekday Regular Weekday Premium Weekend Premium Weekday Premium Weekend Premium Weekday Plus Weekday Premium Weekday Premium Weekday Premium Weekday Regular Weekday Premium Weekday Premium Weekday Premium Weekday Plus Weekday Regular Weekday Regular Weekday Regular Weekday Regular Weekday Premium Weekday Plus Weekday Regular Weekday Regular Weekend Premium Weekday Regular Weekday Plus Weekday Regular Weekend Regular Weekday Premium Weekend Premium Weekday Regular Weekend Regular Weekend Premium Weekend Premium Weekday Premium Weekend Premium Weekday Premium Weekday Regular Weekday Regular Weekday Premium Weekday Premium Weekend Regular Weekday Premium Weekday Premium Weekday Plus Weekend Premium Weekday Premium Weekday Premium Weekend Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Regular Weekend Regular Weekend Premium Weekend Regular Weekday Regular Weekday Premium Weekday Premium Weekday Premium Weekday Regular Weekday Premium Weekday Premium Weekday Plus Weekday Regular Weekend Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekday Regular Weekday Premium Weekday Premium Weekday Premium Weekday Premium Weekend Regular Weekend

(a) Find the contingency table defined by the day of the week and the type of gas. Include the marginal distributions.Complete the contingency table below, using counts throughout.