EC > GATE 2025 > Information Theory
The random variable X takes values in {-1,0,1} with probabilities P(X=-1)=P(X=1)=α and P(X=0)=1-2α, where 0<α<1/2.
Let g(α) denote the entropy of X (in bits), parameterized by α.
Which of the following statements is/are TRUE?
A
g(0.4)>g(0.3)
B
g(0.3)>g(0.4)
C
g(0.3)>g(0.25)
D
g(0.25)>g(0.3)

Correct : a

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