ii) The random variable X has a range of {0, 1, 2} and the random variable Y has a rangeof {1, 2). The joint distribution of X and Y is given by the following table:20.2 0.10.2| 2| 0.3 0.2a) Find the marginal distribution of X and Yb) What is the conditional distribution of X given Y=2.c) Compute Cov (X,Y)d) Are X and Y independent?

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a) Find the marginal distribution of X and Y b) What is the conditional distribution of X given Y=2. c) Compute Cov (X,Y) d) Are X and Y independent?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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ii) The random variable X has a range of {0, 1, 2} and the random variable Y has a range
of {1, 2). The joint distribution of X and Y is given by the following table:
2
0.2 0.1
0.2
| 2
| 0.3 0.2
a) Find the marginal distribution of X and Y
b) What is the conditional distribution of X given Y=2.
c) Compute Cov (X,Y)
d) Are X and Y independent?

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