Example 5-34. For the joint probability distribution of two random variables X and Y given below : Y 1 4. Total 4 3 10 1 36 36 36 36 Find (i) the marginal distributions of X and Y, and (ii) conditional distribution of X given the value of Y = 1 and that of Y given the value of X = 2. 3. 9 36 36 36 36 36 5 1 8 36 36 36 36 36 4 2 36 36 36 36 36 11 9. 6. Total 1 36 36 36 36 |-12品115||18 |2|3|1|的 1|的 |7% 3. 2. 2. 3.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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Example 5-34. For the joint probability distribution of two random variables X and Y
given below :
Y
1
2
Total
4
3
2
1
10
1
36
36
36
36
36
Find (i) the marginal distributions
of X and Y, and
(ii) conditional distribution of X
given the value of Y = 1 and that of
Y given the value of X = 2.
1
3
3
36
36
36
36
36
5
1
1
8
%3D
36
36
36
36
36
4
1
2
1
9
36
36
36
36
36
11
7
6.
Total
1
36
36
36
36
4.
2.
3.
Transcribed Image Text:Example 5-34. For the joint probability distribution of two random variables X and Y given below : Y 1 2 Total 4 3 2 1 10 1 36 36 36 36 36 Find (i) the marginal distributions of X and Y, and (ii) conditional distribution of X given the value of Y = 1 and that of Y given the value of X = 2. 1 3 3 36 36 36 36 36 5 1 1 8 %3D 36 36 36 36 36 4 1 2 1 9 36 36 36 36 36 11 7 6. Total 1 36 36 36 36 4. 2. 3.
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