Example 20: The 'following table represents the joint probability distribution of the discrete random variables X, Y (i) Evaluate marginal distribution of X & Y 1 2 3 (ii) Find the conditional distribution of X given y = 2 and 1 1/12 1/6 0. (iii) Find the conditional distribution of Y given X = 3. 2 1/9 1/5 3 1/18 1/4 2/15 (iv) Find P (X < 2, Y = 3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
Question
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Example 20: The following table represents the joint probability distribution of
the discrete random variables X, Y
(i) Evaluate marginal distribution of X & Y
X
1
3
(ii) Find the conditional distribution of ·X given
y = 2 and
%3D
1
1/12
i 1/6
0.
(iii) Find the conditional distribution of Y given
X= 3.
1/9
1/5
3
1/18
1/4
2/15
(iv) Find P (X < 2, Y = 3)
%3D
(v) Find P (Y < 2), P (X + Y < 4)
2.
Transcribed Image Text:Example 20: The following table represents the joint probability distribution of the discrete random variables X, Y (i) Evaluate marginal distribution of X & Y X 1 3 (ii) Find the conditional distribution of ·X given y = 2 and %3D 1 1/12 i 1/6 0. (iii) Find the conditional distribution of Y given X= 3. 1/9 1/5 3 1/18 1/4 2/15 (iv) Find P (X < 2, Y = 3) %3D (v) Find P (Y < 2), P (X + Y < 4) 2.
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