Probability and Statistics Calc Based

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Homework Statement


that it is exact...
[/B]
X and Y are discrete random variables with joint pmf

Chart attached
Capture.PNG



(a) Find V ar(X) and Var(Y).
(b) Find Cov(X; Y).
(c) Find the correlation of X and Y.
(d) Find the conditional distribution of X given that Y= 3

Homework Equations



Trying to check my answers to see if i am correct.


The Attempt at a Solution


[/B]
a. Var(x) = 0.8 Var(Y) = 1
b. 0.4
c. 0.1414
d. 1/5;1/5;3/5

Thanks
 
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Dr. Courtney said:
What is pmf?
probability mass function