X and Y are two random variables for which joint pdf is given by P(x=i, y=j) = c (i+j) i=1, 2, 3, 4; j=1, 2, 3 find c and conditional mean and variance of X given Y=1.

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written 8.9 years ago by

teamques10 ★ 69k

• modified 8.9 years ago

Mumbai University > Electronics and Telecommunication > Sem5 > Random Signal Analysis

Marks: 10M

Year: Dec 2014

signals and systems

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written 8.9 years ago by

teamques10 ★ 69k

• modified 8.9 years ago

X and Y are discrete RVs

To find c:

We can tabulate the probabilities as follows:

P( x=i,y=j ) = c( i + j) 1≤x≤4,1≤y≤3

X╲Y	1	2	3	Total
1	2c	3c	4c	9c
2	3c	4c	5c	12c
3	4c	5c	6c	15c
4	5c	6c	7c	18c …

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