Solution Found!
Let X and Y have a uniform distribution on the set of points with integer coordinates in
Chapter 4, Problem 4.3-9(choose chapter or problem)
QUESTION:
Let X and Y have a uniform distribution on the set of points with integer coordinates in S = {(x, y): 0 x 7, x y x + 2}. That is, f(x, y) = 1/24, (x, y) S, and both x and y are integers. Find (a) fX (x). (b) h(y | x). (c) E(Y | x). (d) 2 Y | x. (e) fY (y).
Questions & Answers
QUESTION:
Let X and Y have a uniform distribution on the set of points with integer coordinates in S = {(x, y): 0 x 7, x y x + 2}. That is, f(x, y) = 1/24, (x, y) S, and both x and y are integers. Find (a) fX (x). (b) h(y | x). (c) E(Y | x). (d) 2 Y | x. (e) fY (y).
ANSWER:Step 1 of 7
(a) Note that 3 values of Y correspond to each value of X. The marginal p.m.f. of X is