Question: How would you solve the below? The table gives the joint probability distribution of the number of sports an individual plays (X) and the number
How would you solve the below?
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y).
| x=1 | x=2 | x=3 | |
| Y=4 | 0.15 | 0.10 | 0.05 |
| Y=3 | 0.02 | 0.10 | 0.05 |
| Y=2 | 0.02 | 0.03 | 0.20 |
| Y=1 | 0.01 | 0.02 | 0.25 |
1) The covariance between X and Y, is?
2) The correlation between X and Y, corr(X,Y) is?
3) An increase in the number of sports an individual plays will tend to__(Increase or Decrease)__ the number of times she may get injured while playing?
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