MARIGINAL AND JOINT DISTRIBUTIONS The joint distribution of X andY is as follows. Values of Y 1 P{X = x} 1 0.1 0.2 0.3 Values of X 0.3 0.4 0.7 P{Y = y} 0.4 0.6 1.0 a. Find the marginal distribution of X and Y. D. Find the conditional distribution of Y given X = 1, P{Y = y|X = 1} . Compute the conditional expectation of Y given X = 1, E{Y = y\X = 1}

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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MARIGINAL AND JOINT DISTRIBUTIONS
The joint distribution of X and Y is as follows.
Values of Y
0.1
0.3
0.4
P{X = x}
0.3
0.7
1.0
1
0.2
Values of X
0.4
P{Y = y}
0.6
a. Find the marginal distribution of X and Y.
b. Find the conditional distribution of Y given X= 1, P{Y = y|X = 1}
c. Compute the conditional expectation of Y given X = 1, E{Y = y|X = 1}
Transcribed Image Text:ITOM wer supported by substantially correct calculations and explanati For additional information on Protected View, click the File tab. edit. MARIGINAL AND JOINT DISTRIBUTIONS The joint distribution of X and Y is as follows. Values of Y 0.1 0.3 0.4 P{X = x} 0.3 0.7 1.0 1 0.2 Values of X 0.4 P{Y = y} 0.6 a. Find the marginal distribution of X and Y. b. Find the conditional distribution of Y given X= 1, P{Y = y|X = 1} c. Compute the conditional expectation of Y given X = 1, E{Y = y|X = 1}
Expert Solution
Step 1

Given:

    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
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