Solve the following problem:
Determine the differential entropy H(X) of the uniformly distributed random variable X with PDF
p(x) = {a-1 0≤x≤a
{0 otherwise
for the following three cases:
1. a = 1
2. a = 4
3. a = 1 4
Observe from these results that H(X) is not an absolute measure, but only a relative measure of randomness.