Question: Let random variable (RV) X With alphabet 26' : {1, 2, . . . , 6} denote the outcome of the toss of a biased

Let random variable (RV) X With alphabet 26' : {1, 2,

Let random variable (RV) X With alphabet 26' : {1, 2, . . . , 6} denote the outcome of the toss of a biased die such that its probability mass function (pmf) PX satises (a) Determine the entropy of X , H (X ), in bits. (b) Now the biased die is tossed once. If its outcome X is odd, a fair coin is tossed once; if X is even, the coin is tossed twice. Letting Y denote the number of tails obtained, determine I (X ; Y) in bits

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