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5. (25 pts.) The following strings of length 7 (over the quintuple alphabet {0, 1, 2, 3, 4) and fitneses are contained in a population

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5. (25 pts.) The following strings of length 7 (over the quintuple alphabet {0, 1, 2, 3, 4) and fitneses are contained in a population at generation : String fitness 2042003 80 4101014 20 1301210 25 0401320 75 a. Calculate the number of individuals that can be represented by this coding. (b) Calculate the number of similarity templates represented by this coding. (c) Determine a lower bound on the expected number of copies in generation t+1 of the following schemata under roulette wheel selection, simple crossover, and mutation if pe = 1, Pm=0.9: Hi = 2 ****** H2=0****** H3 =**01*** H4=2*****3 5. (25 pts.) The following strings of length 7 (over the quintuple alphabet {0, 1, 2, 3, 4) and fitneses are contained in a population at generation : String fitness 2042003 80 4101014 20 1301210 25 0401320 75 a. Calculate the number of individuals that can be represented by this coding. (b) Calculate the number of similarity templates represented by this coding. (c) Determine a lower bound on the expected number of copies in generation t+1 of the following schemata under roulette wheel selection, simple crossover, and mutation if pe = 1, Pm=0.9: Hi = 2 ****** H2=0****** H3 =**01*** H4=2*****3

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