Question

You are required to show your work on each problem on this exam. The following rules apply:

• Clearly and neatly present and show your work for each problem.

• Mysterious or unsupported answers will not receive full credit. A correct answer, unsupported by calculations, explanation, or other work will receive no credit; an incorrect answer supported by substantially correct calculations and explanations might still receive partial credit.

MARIGINAL AND JOINT DISTRIBUTIONS

The joint distribution of X and Y is as follows.

		Values of Y
		1	0	P{X=x}
Values of X	1	0.1	0.2	0.3
	0	0.3	0.4	0.7
	P{Y=y}	0.4	0.6	1.0

a. Find the marginal distribution of X and Y.

b. Find the conditional distribution of X given y = 1

c. Compute the conditional expectation of Y given X=1, E{Y=y|X=1}

Answer 1