The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring. Calculate the probability of a string of the following genotypes in successive generations: WWWW, taking the first state as given. (type three digits after the decimal).

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual
has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
Calculate the probability of a string of the following genotypes in successive generations: WWWW, taking the first
state as given. (type three digits after the decimal).
Transcribed Image Text:The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring. Calculate the probability of a string of the following genotypes in successive generations: WWWW, taking the first state as given. (type three digits after the decimal).
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