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Q#1
Information Theory and Error Control coding
GATE EC 2025
NAT
+2 marks
-0 marks
and 
are Bernoulli random variables taking values in 
. The joint probability mass function of the random variables is given by:
The mutual information 
is _________ (rounded off to two decimal places).
Explanation:
The mutual information I 
between two random variables 
and 
is defined as:
where 
Joint Probability Mass function: of X and Y.
, Marginal Probability of 
Marginal Probability of 
Given: 
Marginal Probabilities 
and 
:
The marginal probability of 
and 
:
The marginal probability of 
and 
:
= 0+0+0+0
= 0
Alternate Solution:
are Bernauli Random variables,
they are independent.
Thus, 
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