Please help solve these problems: Give the LaTeX formatting with the dollar signs, for example: "$$( \frac{0}{0} )$$"

4.4. Let X be N3(u,Z) with p' = [2,-3,1] and Nm owe oN a. Find the distribution of 3X, 2X) + X3. b. Relabel the variables if necessary, and find a 2x 1 vector a such that X2 and Xo- a | are independent. X3 4.5. Specify each of the following. a. The conditional distribution of X,, given that X2 = x2 for the joint distribution in Exercise 4.2. b. The conditional distribution of Xz, given that X; = x; and X3 = x3; for the joint distribution in Exercise 4.3. c. The conditional distribution of X3, given that X, = x; and X = x2 for the joint distribution in Exercise 4.4