Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined...
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. Var (r)-30 Var (r)-36 Var (z) 23 Compute the values of the expressions below 2X + 32 Var (Z-4)-
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(x) = 3 Var (x) = 19 E(r)--2 Var (r)-36 E(Z)-6 Var (Z)-45 Compute the values of the expressions below. E (2 1)
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. ar (x) 34 Var (Y)- Var() 35 Compute the values of the expressions below. E 4 + 5Z2) -4Z-5x -О Var (-5Y+2)
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(x)-4 E(Y) 2 E(Z)-7 Var (x) -28 Var(Y)-3 Var (Z) -44 Compute the values of the expressions below. E(Y 1) 5Z + 4x Var (4Y-3)
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)-8 E(Y)-7 E(Z)-2 Var (x) 24 Var (Y) 2 Var (z) 29 Compute the values of the expressions below. E (5x- 4) Var (-2 5z) - [D
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(x)-5 ECY)4 E(Z)--8 Var (x)-39 Var (Y)-11 Var (z) 37 Compute the values of the expressions below. E(2 -2z) 35 30 Var (sz)-5-D
Suppose that X, Y, and Zare jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(x)-4 E(Y) 2 E(Z)-7 Var (x) -28 Var(Y)-3 Var (Z) -44 Compute the values of the expressions below. E(Y -1) 5Z + 4X Var (4Y-3)
Suppose that X, Y, and Zare jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(x)--8 Var(x)=24 E(r) = 7 Var (r) = 2 E(z) =-2 Var(Z)-29 Compute the values of the expressions below. E (5X-4) Var(-21, 52)=
-1 1 9. Suppose the discrete random variables X and Y are jointly distributed according to the following table: 0 0.1 0.1 0.1 3 0 0.2 0.1 4 0.2 0.1 0.1 2x 1 a. Compute the expected values E(X) and E(Y), variances V(X) and V(Y), and covariance Cov(X,Y) of X and Y. [11] b. Let W = X – Y. Compute E(W) and V(W). [4]
Question (c) Suppose you have two jointly distributed random variables, X and Y. Suppose you know the following facts. • Var(–7.5 X) = 53.2925 • Var(1.5 x Y) = 1.01765 • Var(2 x X +3 + Y) = 6.26319 i. What is Cov(X,Y)? ii. What is the correlation of X and Y? iii. If you had a random sample of observations of x and y and estimated the regression Y = Bo + BiX +€ What would the