Question

QUESTION 7 Joint Distribution (discrete), E(XY) and Covariance The joint distribution of X and Y (discrete ranom variables) is given in the table below -2 0 2 0 0.00 0.10 0.05 1 0.05 0.15 0.10 2 3 0.10 0.05 0.10 0.10 0.15 0.05 a) Find the marginal distributions of X and Y, as well as their expected values $\mu_x = E(X)$ and $\mu_y = E(Y)$. b) Find $\mu_{xy} = E(XY)$ and Covariance(X,Y) [Optional: also find the correlation coefficient: $\rho = \frac{Cov(X,Y)}{\sigma_x \sigma_y}$]

          QUESTION 7
Joint Distribution (discrete), E(XY) and Covariance
The joint distribution of X and Y (discrete ranom variables) is given in the table below
-2
0
2
0
0.00
0.10
0.05
1
0.05
0.15
0.10
2
3
0.10
0.05
0.10
0.10
0.15
0.05
a) Find the marginal distributions of X and Y, as well as their expected values $\mu_x = E(X)$ and $\mu_y = E(Y)$.
b) Find $\mu_{xy} = E(XY)$ and Covariance(X,Y)
[Optional: also find the correlation coefficient: $\rho = \frac{Cov(X,Y)}{\sigma_x \sigma_y}$]

QUESTION 7
Joint Distribution (discrete), E(XY) and Covariance
The joint distribution of X and Y (discrete ranom variables) is given in the table below
-2
0
2
0
0.00
0.10
0.05
1
0.05
0.15
0.10
2
3
0.10
0.05
0.10
0.10
0.15
0.05
a) Find the marginal distributions of X and Y, as well as their expected values = E(X) and = E(Y).
b) Find μxy = E(XY) and Covariance(X,Y)
[Optional: also find the correlation coefficient: ρ = (Cov(X,Y))/()]

Added by Alicia D.

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