Question: Solve this question step by step A cipher is used to encrypt plaintext symbols, represented by random variable P, which can take on one of

Solve this question step by step

Solve this question step by step A cipher is used to encrypt

A cipher is used to encrypt plaintext symbols, represented by random variable P, which can take on one of 6 values, a,b,c,d,e, and f, into ciphertext symbols represented by random variable C. The probability distribution of plaintext symbols is known to be: Pr(P=a)=5/8,Pr(P=b)=1/8,Pr(P=c)=Pr(P=d)=Pr(P=e)=Pr(P=f)=1/16. Ciphertext data for different keys is captured from an insecure channel and the following ciphertext probabilities are determined: Pr(C=a)=15/128,Pr(C=b)=20/128,Pr(C=c)=20/128Pr(C=d)=30/128,Pr(C=e)=26/128,Pr(C=f)=17/128. Given that the system has 8 possible keys and that all keys are equally likely, what is the key equivocation? Comment on the significance of the resulting value for H(KC)

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