Question

Does the type of meal influence the type of beverage ordered? At a restaurant, the orders of 340 dining customers were analysed.

The resulting data are summarised in the contingency table below:

Meal Type	Preferred Beverage
	Coffee/Tea	Soft Drink	Alcohol	Total
Breakfast	95	25	18	138
Lunch	19	41	20	80
Dinner	40	27	55	122
Total	154	93	93	340

1. Use Excel to obtain a 100% stacked column chart for the data in the table. What does your chart suggest between the relationship between type of meal and preferred beverage?

2. What ist he probability that the Preferred Beverage is Coffee/Tea.

3. What is the probability that the Meal Type is Dinner AND preferred beverage is Alcohol.

4. The probability that the Meal Type is Breakfast OR Preferred Beverage is Coffee/Tea.

5. Given the Meal Type is Lunch, what is the probability that the Preferred Beverage is Soft Drink?

6. Given that the Preferred Beverage is Coffee/Tea, what is the probability that the chosen Meal Type is Dinner?

7. Are Breakfast and Preferred Beverage statistically independent or dependent? How do you know? Show all calculations to support your answer.