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The information content of a message that consists of a digital word 12 digits long and...

The information content of a message that consists of a digital word 12 digits long and assume that words, each 12 digits in length, are sent over a system and that each digit can take on one of two possible values. Half of the possible words have a probability of being transmitted that is (1/2)13 for each word. The other have probabilities equal to 3*(1/2)13 . Find the entropy for this source. (Hint: make sure that ΣPi = 1

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