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PS09-Sol

# PS09-Sol - Genetics 320 Problem Set Nine(15 points 1(2...

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Genetics 320, Problem Set Nine (15 points) 1 (2 points) : Consider a locus with four alleles ( A 1 to A 4 ) at the following frequencies: p 1 = 0 . 1 , p 2 = 0 . 2 , p 3 = 0 . 3 , p 4 = 0 . 4 . Assume random mating and all other Hardy-Weinberg conditions. What is the frequency of (a) A 2 A 3 ? 2 p 2 p 3 = 0 . 12 (b) A 4 A 4 ? p 2 4 = 0 . 16 (c) All heterozygotes involving allele A 2 ? 2 p 2 (1 - p 2 ) = 0 . 32 (d) All heteroyzgotes? 1 - ( p 2 1 + p 2 2 + p 2 3 + p 2 4 ) = 0 . 70 (e) Of a mating between A 1 A 2 and A 3 A 3 parents. Prob( A 1 A 2 ) = 2 p 1 p 2 = 0 . 04 , Prob( A 3 A 3 ) = p 2 3 = 0 . 09 , Hence, Prob( A 1 A 2 × A 3 A 3 mating) = Prob( father = A 1 A 2 , mother = A 3 A 3 ) + Prob( father = A 3 A 3 , mother = A 1 A 2 ) = 2 (0 . 04 · 0 . 09) = 0 . 0072 . 2 (2 points) : Let p (0) = freq( A ) in the initial generation (which we call generation 0). As- suming Hardy-Weinberg conditions: (a) What is the frequency of AA homozygotes in the next generation (generation 1)? p (0) 2 (b) What is the frequency of heterozygotes involving A in generation 1? 2 p (0) [ 1 - p (0) ] (b) Given these genotype frequencies, show that p (1) = freq( A in generation 1) = p (0) . p (1) = freq( AA in gen 1) + (1/2)freq( Aa in gen 1) = p (0) 2 + (1 / 2)2 p (0) [ 1 - p (0) ] = p (0) 2 + p (0) - p (0) 2 = p (0) 3 (2 points) : This problem examines what happens when there are different allele frequencies in the two sexes (as would occur if one mates males from one population with females from a second). Assume an autosomal locus, where the frequency of allele A in the male and female founding populations is p and r , respectively. Assuming all other Hardy-Weinberg conditions hold, (a) What is the frequency of AA homozygotes in their offspring? p · r (b) What is the frequency of A - heterozygotes? p · (1 - r ) + (1 - p ) · r (c) What is the frequency of allele A in their male offspring? In their female offspring?

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PS09-Sol - Genetics 320 Problem Set Nine(15 points 1(2...

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