A message consists of the following five symbols [A, B, C, D, E] with corresponding probabilities of occurrence [0.10, 0.15, 0.20, 0.25, 0.30]. 

Calculate 

(i) the self-entropy of symbol A; 

(ii) Entropy of this message in terms of bits/symbol; and 

(iii) compute the message interval for the arithmetic coded message sequence ‘CAB’.