Q65,p3,d14. Given a simple image of size 10 ×10 whose histogram models the symbol probabilities and is given by

p1        p2        p3        p4

a        b        c        d

The first order estimate of image entropy is maximum when

(A) a = 0, b = 0, c = 0, d = 1

(B) a =1/2, b =1/2, c = 0, d = 0

(C) a = 1/3, b = 1/3, c = 1/3, d = 0

(D) a = 1/4, b = 1/4, c = 1/4, d = 1/4

Answer B.

In option D all elements are in class ¼. Hence entropy isleast.

In option c,a, 3 elements are in  single class and one in other class.

In Option B, maximum diffusion,2 in each class. Hence max entropy.