Let X and Y have following joint distribution:
| X\Y |
-1 |
1 |
| 0 |
0.20 |
0.15 |
| 2 |
0.10 |
0.20 |
| 4 |
0.25 |
0.10 |
(a) Caculate the probability distributions for X and Y .
(b) Compute E[X] and E[Y].
(c) Determine the probability that X is larger than 1.
(d) Find out E[XY]
(e) Find out the covariance between X and Y
(f) Using your answer from part (e), are X and Y independent? Explain