Question

Question 19 The following is a joint probability mass function. 1 2 1/8 0.5 -1 1/4 0.5 11/2 12 1/8 Determine the mean of X and the mean of Y.

Answer 1

The joint probability mass function of X and Y is given as follows: fx(x) \ |-2|-1 |1 | 2 1 | |0|0 | 0|1 | |0| 1 | -0.5 0.5 0 | 1 Tojojols工具 | (p) | | | |||| | Therefore, the marginal mass function of X and Y is given as follows: 1 X | -1 | -0.5 | 0.5 | | | (c) |%| | | Sola

Now, using the marginal mass functions, mean for X and Y can be computed as follows: E(X)=Xx fx (x) -- ()-05(4) +0.5{}}+{ E(Y)=Lyf; (y) ---(1)-(1)-(2)+20) Therefore, mean of x is J and mean of Y is 5 Therefore, mean of X is and mean of Y is