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Q#1
Random Variable and Random Process
GATE EC 2025
MSQ
+2 marks
-0 marks
The random variable 
takes values in 
with probabilities 
and 
, where 
. Let 
denote the entropy of (in bits), parameterized by 
. Which of the following statements is/are TRUE?
Explanation:
The entropy of a discrete random variable 
is given as,
The entropy function 
will thus be:
For maximum entropy,
Thus, at 
is near to Maximum.
Alternatively,
Hence, option (b) & (c) are correct.
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