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Y X 50 60 80 30 0.5 0 0 40 0 0.3 0 50 0 0 0.2 W P(W) 80 0.5 100 0.3 130 0.2
Y | |||
X | 50 | 60 | 80 |
30 | 0.5 | 0 | 0 |
40 | 0 | 0.3 | 0 |
50 | 0 | 0 | 0.2 |
W | P(W) |
80 | 0.5 |
100 | 0.3 |
130 | 0.2 |
E(X) = 37
E(Y)= 59
Var(X)= 61
Var (Y)= 129
Random variable W = X + Y.
E(W) =96 Cov(X,Y)=87
Knowing that Var(W) = 364, compute the covariance of X and Y.
Given the results above, compute the correlation coefficient between X and Y
Enter your answer rounded to two decimal places
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