Question 4. Drink Choice (5 marks) The manager of a local pub conducted a survey of its customers to determine their preferences for the types of drinks they order. The accompanying data file contains the responses collected from 270 customers. The data represents the gender of customers as well as their drink choice. For simplicity, only two categories are considered for gender, and three categories for the drink choice. a) Construct a contingency table that classifies the customers by sex and drinks choice. How many of the customers are classified as female? How many of the customers are classified as males who drink beer? (2 mark) b) Given that a customer is male, what is the chance that he drinks beer? (1 mark) c) Given that a customer is female, what is the likelihood that she drinks beer? (1 mark) d) Construct a stacked bar chart for this contingency table. Comment on the patterns you observe. (1 mark)