Question

A random variable has probability distribution function as shown in the figure below:

Then the value of differential entropy of the random variable is equal to _______ bits.

• A. 3

Answer 1

The correct option is A 3
$\text{For uniform distribution function, the value of differential entropy is equal to}{\log }_{2}M,\text{where}\frac{1}{M}\text{is the amplitude of that function. Thus, in this case differential entropy}=lo{g}_{2}8=3bits.$