You are given the joint pdf of the random variables, X and Y
(a) What is the marginal distribution of X.
(b) What is the marginal distribution of Y
(c) Find the conditional distribution of X.
(d) Find E(X), where this is defined, what restrictions, if any, do we impose?
You are given the joint pdf of the random variables, X and Y
(a) What is the marginal distribution of X.
(b) What is the marginal distribution of Y
(c) Find the conditional distribution of X.
(d) Find E(X), where this is defined, what restrictions, if any, do we impose?
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Related questions
You are given a fair die, i.e. the outcomes of any throw are contained in the sample space 
(a) Derive the joint pdf of X and Y. Provide this in the form of a table
Y=0 Y=1
| X=0 | ||
| X=1 |
b) What is the marginal probability distribution of Y?
(c) What is the conditional probability distribution of X, given that Y = 1?
(d) What is E (X|Y = 1)?
(e) What is Cov (X, Y )?
(f) Are X and Y independent random variables?
