For the given joint probability mass function fx y x y36 o

For the given joint probability mass function f(x, y) = (x + y)/36 over the nine points with x = 1,2,3 and y = 1,2,3. Determine E(X) , E(Y) , V(X) , and V(Y).

Round your answers to three decimal places (e.g. 98.765).

Prepare joint distribution table as follows:

E(x) = 17/12

Var(x) = 16/3-(17/12)^2 = 10/3 = 3.333

Var(y) = 10/3 = 3.333

x	1	2	3	Total
y
1	1/18	1/12	1/9	1/4
2	1/12	1/9	5/36	1/3
3	1/9	5/36	1/6	5/12
Total	1/4	1/3	5/12	1	1

For the given joint probability mass function f(x, y) = (x + y)/36 over the nine points with x = 1,2,3 and y = 1,2,3. Determine E(X) , E(Y) , V(X) , and V(Y). R

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