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Homework #1.03 de Finetti Diagram P20 1 0.8 0.2 0.6 0.4 0.4 0.6 0.2 0.8 0 P22 1 0.8 0.6 0.2 0 P11 0 9

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Homework #1.03 de Finetti Diagram P20 1 0.8 0.2 0.6 0.4 0.4 0.6 0.2 0.8 0 P22 1 0.8 0.6 0.2 0 P11 0 9 P Figure 1.1 de Finetti diagram We have seen that the genotypic frequencies in a two-allele system can be drawn as points on a de Finetti diagram, sketched above. If the altitude of your equilateral triangle is one, the genotype frequencies P1, P12, and P22 are simply the perpendicular distances from a point to the sides of the trian- gle, with P11+P12 + P 22 = 1. Prove that a vertical line from a point in your triangle will divide the base of the triangle in the ratio p to q, where p and q are A, and A, allele frequencies. Homework #1.03 de Finetti Diagram P20 1 0.8 0.2 0.6 0.4 0.4 0.6 0.2 0.8 0 P22 1 0.8 0.6 0.2 0 P11 0 9 P Figure 1.1 de Finetti diagram We have seen that the genotypic frequencies in a two-allele system can be drawn as points on a de Finetti diagram, sketched above. If the altitude of your equilateral triangle is one, the genotype frequencies P1, P12, and P22 are simply the perpendicular distances from a point to the sides of the trian- gle, with P11+P12 + P 22 = 1. Prove that a vertical line from a point in your triangle will divide the base of the triangle in the ratio p to q, where p and q are A, and A, allele frequencies

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