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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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