# Question: Two discrete random variables have a joint PMF as described

Two discrete random variables have a joint PMF as described in the following table.

(a) Find the marginal PDFs, PM (m) and PN (n).

(b) Find (N = 1|M =2).

(c) Find (M = N).

(d) Find (M > N).

(a) Find the marginal PDFs, PM (m) and PN (n).

(b) Find (N = 1|M =2).

(c) Find (M = N).

(d) Find (M > N).

## Answer to relevant Questions

For a constant k, two discrete random variables have a joint PMF given by (a) Find the value of the constant c in terms of k. (b) Find the marginal PMFs, PM (m) and PN (n). (c) Find Pr (M + N < k/2). A colleague of your proposes that a certain pair of random variables be modeled with a joint CDF of the form Fx, y (x,y) = [1 – ae–x – be–y +ce–(x+y)] u (x) u (y). (a) Find any restrictions on the constants a, b, ...Suppose two random variables are related by Y = a X2 and assume that is symmetric about the origin. Show that ρ X, Y = 0. Consider two discrete random variables X and Y which take on values from the set {1, 2, 3, ….,K}. Suppose we construct an n ˟ n matrix ρ whose elements comprise the joint PMF of the two random variables. That is, if is ...Find the general form of the joint characteristic function of two jointly Gaussian random variables.Post your question