mchiuminatto
New member
- Joined
- May 15, 2020
- Messages
- 2
Hello there.
My question is related to establish random variables independence.
I have variables X and Y and the following joint distribution table:
If X and Y are independent then:
P(X and Y) = P(X)*P(Y)
P(X=1 and PY=1) = P(X=1) * P(Y=1) (1)
In this case:
P(X=1 and PY=1) =0.239201
P(X=1) = 0.499061
P(Y=1) = 0.499013
Replacing values in (1) and rounding to two decimals
0.24 = 0.5*0.5
0.24 = 0.25
Values are very close, so my question is:
Can I consider X and Y independent?
If so, what is the tolerance for the difference to establish that they are independent?
Thank you very much
Regards
Marcello
My question is related to establish random variables independence.
I have variables X and Y and the following joint distribution table:
X\Y | -1 | 0 | 1 | Total |
-1 | 0.234000 | 0.003323 | 0.256152 | 0.493475 |
0 | 0.003756 | 0.000048 | 0.003660 | 0.007464 |
1 | 0.255767 | 0.004093 | 0.239201 | 0.499061 |
Total | 0.493523 | 0.007464 | 0.499013 | 1.000000 |
If X and Y are independent then:
P(X and Y) = P(X)*P(Y)
P(X=1 and PY=1) = P(X=1) * P(Y=1) (1)
In this case:
P(X=1 and PY=1) =0.239201
P(X=1) = 0.499061
P(Y=1) = 0.499013
Replacing values in (1) and rounding to two decimals
0.24 = 0.5*0.5
0.24 = 0.25
Values are very close, so my question is:
Can I consider X and Y independent?
If so, what is the tolerance for the difference to establish that they are independent?
Thank you very much
Regards
Marcello