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Application of entropy An archivist found a notebook A which recorded a city's weather of each day for 100 years. In the notebook there are three different symbols "s", "c" and "r". They represent each day's weather, "s" for sunny, "c" for cloudy, and "r" for rainy. The other notebook B recorded corresponding temperature which are "h" for high, "m" for medium and "I" for low. In the picture, we can the first 32 records in A and B. It is found that the remaining records are the repeating of the first 32 records. The first 32 records in Notebook A day 1 2 3 4 5 6 7 8 9 10 weather SSC 7 Cs S s 7" c 11 12 13 14 15 16 17 18 19 20 c s s r s r s S 21 22 23 24 25 26 27 28 29 30 31 32 repeating again and again S S r 7 r c C S S S S c The first 32 records in Notebook B day 1 2 3 4 5 6 7 8 9 10 temperature hm IN 7 hh 11h 11 12 13 14 15 16 17 18 19 20 1 h I 1 h 1 1 h 21 22 23 24 25 26 27 28 29 30 31 32 III h 1 h 1 h h 1 repeating again and again Set there is no correlation among those records in both A and B. Approximately, 1) How much information does A give us? 2) How much information does B give us? 3) How much information dose A and B give us together? 4) If we have already known A, how much information do we get from notebook B