Question

MARIGINAL AND JOINT DISTRIBUTIONS The joint distribution of X and Y is as follows. Values of...

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}

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