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Unit 10 · Artificial Intelligence (AI) Paper 2 CS · December 2019

Let the population of chromosomes in genetic algorithm is represented in terms of binary number. The strength of fitness of a chromosome x in decimal form, , is given by f(x) Sf(x) = where f(x) = x2 Σf(x) P The population is given by where: P = {(01101, (11000), (01000), (10011)} The strength of fitness of chromosome (11000) is -------------

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Correct answer: D. 49.2

Explanation

x values 13, 24, 8, 19 give x² = 169, 576, 64, 361 (sum 1170). Strength of 11000 = 576/1170 ≈ 49.2%.

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