The Chamber of Commerce in a Canadian city has conducted an evaluation of the restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 - least expensive to 3 most expensive) and quality (1 - lowest quality and 3 highest). The data are summarised here:

	Meal Price
Quality	1	2	3	Total
1	42	39	3	84
2	33	63	54	150
3	3	15	48	66
Total	78	117	105	300

1. Overall ratings of a restaurant are oftenbased on a composite of ratings on different dimensions. Assume that price x and quality y are the only dimensions measured, so that the composite rating would be the sum x + y. Find the probability distribution of x + y and compute Var(x + y).