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

Similar Questions

X and Y are Bernoulli random variables taking values in {0,1}. The joint probability mass function of the random variables is given by:P(X=1,Y=1)=0.56P(X=0,Y=0)...
#216 NAT
Let H(X) denote the entropy of a discrete random variable X taking K possible distinct real values. Which of the following statements is/are necessarily true?
#240 MSQ
The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in the figure. The transition probabilities a...
#270 Fill in the Blanks

Related Topics

entropy EC gate EC 2025 random variable entropy EC gate entropy parameterized EC entropy probability distribution EC gate EC 2025 question 54

Unique Visitor Count

Total Unique Visitors

Loading......