Homework SourseThe following is a joint probability mass function Determine
The following is a joint probability mass function.
Determine the mean of X and the mean of Y.
Round your answers to three decimal places (e.g. 98.765)
| x | y | f XY ( x , y ) |
| 1 | 1 | 1/4 |
| 1.5 | 2 | 1/8 |
| 1.5 | 3 | 1/4 |
| 2.5 | 4 | 1/4 |
| 3 | 5 | 1/8 |
Solution
Here,
mean of X = Sum (x f(x, y))
mean of Y = SUm (y f(x, y))
Thus,
x y f(x,y) x f(x,y) y f(x, y)
1 1 0.25 0.25 0.25
1.5 2 0.125 0.1875 0.25
1.5 3 0.25 0.375 0.75
2.5 4 0.25 0.625 1
3 5 0.125 0.375 0.625
mean of x = 1.8125
mean of y = 2.875 [ANSWERS]
