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Exercise 1. The base composition of a certain microbial genome is pc - - 0.3 and pA -pr -0.2. We are interested in 2-words where the letters (a) Present these 16 probabilities in a table. (Do your 16 numbers sum to (b) Purine bases are defined by R- A, G} and pyrimidine bases by Y - C,T are assumed to be independent. There are 4 x 4 16 2-words. 1.0? Let E be the event that the first letter is a pyrimidine, and F the event Exercises 63 that the second letter is A or C or T. Find P(E), P(F), P(EUF), P EnF), and P(Fc) (c) Set G-CA, CC). Calculate P(G| E), P(F GU E), P(FUG|E)

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