Suppose that 10,000 men and 10,000 women settle on an island in the Pacific that has

Chapter 6, Problem 17

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Suppose that 10,000 men and 10,000 women settle on an island in the Pacific that has been opened to development. Suppose also that a medical study of the settlers finds that 200 of the men are color blind and only 9 of the women are color blind. Let x(1) denote the proportion of genes for color blindness in the male population and let x(2) be the proportion for the female population. Assume that x(1) is equal to the proportion of color-blind males and that x(2)2 is equal to the proportion of color-blind females. Determine x(1) and x(2) and enter them in MATLAB as a column vector x. Enter also the matrix A from Application 3 of Section 3. Set MATLAB to format long, and use the matrix A to compute the proportions of genes for color blindness for each sex in generations 5, 10, 20, and 40. What are the limiting percentages of genes for color blindness for this population? In the long run, what percentage of males and what percentage of females will be color blind? 1