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A school principal is looking at the combinations of subjects students are studying.
He learns that the probability that a student is studying Chemistry is 0.5 and that the probability that a student is studying Physics is 0.1. He has also found that the probability that a student is studying Chemistry given that they are studying Physics is 0.7.
(a) What is the probability that a student is studying both Chemistry and Physics ?
(b) What is the probability that a student is studying Physics given that they are studying Chemistry ?
(c) What is the probability that a student is studying Chemistry or Physics or both ?
1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.
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