Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined...
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)=
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. 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 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 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. 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 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 E(Y)9 E(Z)-2 Var(X) = 36 par(r)=19 par(Z)-10 Compute the values of the expressions below E (32 +3) 5Y+ 2x Var (5-2)-
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. Var (r)-30 Var (r)-36 Var (z) 23 Compute the values of the expressions below 2X + 32 Var (Z-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
9. Suppose the discrete random variables X and Y are jointly distributed according to the following table: Y|Y -1 0 1 0.1 0.1 0.1 3 0 0.2 0.1 4. 0.2 0.1 0.1 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]