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}
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}
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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}
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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