2. Let X and Y are two discrete random variables with joint probability function as follows: Values of Y : y 1 Values of X : x -1 0.2 0.1 0.05 0.05 0.2 0.3 3 0.02 0.04 0.04 a. Find the marginal probability function of X and Y. b. Find the conditional probability function of X for given Y 2. c. Find the conditional probability function of Y for given X 0.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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2. Let X and Y are two discrete random variables with joint probability function as
follows:
Values of Y : y
1
Values of X : x
-1
0.2
0.1
0.05
0.05
0.2
0.3
3
0.02
0.04
0.04
a. Find the marginal probability function of X and Y.
b. Find the conditional probability function of X for given Y = 2.
c. Find the conditional probability function of Y for given X = 0.
d. Find P(X = 0|Y =1 ).
e. Are X and Y independent?
Transcribed Image Text:2. Let X and Y are two discrete random variables with joint probability function as follows: Values of Y : y 1 Values of X : x -1 0.2 0.1 0.05 0.05 0.2 0.3 3 0.02 0.04 0.04 a. Find the marginal probability function of X and Y. b. Find the conditional probability function of X for given Y = 2. c. Find the conditional probability function of Y for given X = 0. d. Find P(X = 0|Y =1 ). e. Are X and Y independent?
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