16. Two random variables X and Y take the values 1,2,3 along the probabilities shown below: 3 Y K K 2K K 2K K 3. 2K K 2K (i) Find K. (ii) (ii) (iv) Find E(X+Y) Find Var (X), Cov (X,Y) Find the conditional distribution of Y given that X 3.

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16. Two random variables X and Y take the values 1,2,3 along the probabilities shown below:
K
K
2K
K
2K
3.
2K
K
2K
(i)
(ii)
(ii)
Find K.
Find E(X+Y)
Find Var (X), Cov (X,Y)
(iv)
Find the conditional distribution of Y given that X = 3.
Transcribed Image Text:16. Two random variables X and Y take the values 1,2,3 along the probabilities shown below: K K 2K K 2K 3. 2K K 2K (i) (ii) (ii) Find K. Find E(X+Y) Find Var (X), Cov (X,Y) (iv) Find the conditional distribution of Y given that X = 3.
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