Compute the effective source entropy ^HS (x.xx bits/symbol) of the source producing following 20- symbol sequence

AAABAAACAAADAAAEAAAF


Pe[A] = 15/20 = 0.75, Pe[B] = 1/20 = 0.05, Pe[C] = 0.05, Pe[D] = 0.05, Pe[E] = 0.05, Pe[F] = 0.05. ^HS = -? Pe[Xi] log2 Pe[Xi] = -(0.75)(-0.42) –(5)(0.05)(-22.02) = 1.39 bits/symbol.

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