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### ProblemEx3

Course: BIOL 204, Spring 2008
School: SD State
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Word Count: 147

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session Problem (Lab 7) 14.4 10 AA 15 Aa 4 aa Allele frequency A alleles 20 15 0 35/58 = 0.603 a alleles 0 15 8 23/58 = 0.397 14.6 Heterozygotes = 2pq, therefore we need to know p and q. We know that q2 = 0.10, so q = 0.100.5 = 0.316. That means that p = 1 0.316 = 0.684. Frequency of heterozygotes is 2 x 0.316 x 0.684 = 0.43. Normal cattle = 90% of herd so proportion of heterozygotes among normals is 0.43 / 0.90...

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session Problem (Lab 7) 14.4 10 AA 15 Aa 4 aa Allele frequency A alleles 20 15 0 35/58 = 0.603 a alleles 0 15 8 23/58 = 0.397 14.6 Heterozygotes = 2pq, therefore we need to know p and q. We know that q2 = 0.10, so q = 0.100.5 = 0.316. That means that p = 1 0.316 = 0.684. Frequency of heterozygotes is 2 x 0.316 x 0.684 = 0.43. Normal cattle = 90% of herd so proportion of heterozygotes among normals is 0.43 / 0.90 = 0.48. 14.7 IA : p = 0.16 IB : q = 0.10 IO : r = 0.74 Genotype IA IA IA IO IB IB IB IO IO IO IA IB Expected p = 0.162 = 0.026 2pr = 2 x 0.16 x 0.74 = 0.237 q2 = 0.102 = 0.010 2qr = 2 x 0.10 x 0.74 = 0.148 q2 = 0.742 = 0.548 2 Blood type B A O AB 14.9 AA a b c d e 0.25 0.36 0.49 0.64 0.29 Aa 0.50 0.55 0.42 0.27 0.42 Frequency 0.263 0.158 0.548 2pq = 2 x 0.16 x 0.10 = 0.032 0.032 Total genotype = 1.001 (close enough) p 0.5 0.6 0.7 0.8 0.54 aa 0.25 0.09 0.09 0.09 0.29 q 0.5 0.3 0.3 0.3 0.54 p + q = 1? yes no yes no no Aa frequency = 2pq ? yes no yes no no HardyWeinberg OK NO OK NO NO 14.11 Frequency of heterozygotes is lower than expected in inbred populations. 14.12 q2 = 8.5 x 10-6 = 0.0000085 q = 0.00000851/2 = 0.00292 First cousins = q2(1 F) + qF = 0.0000085(1 1/16) + 0.00292(1/16) = 0.00019 Second cousins = q2(1 F) + qF = 0.0000085(1 1/64) + 0.00292(1/64) = 0.000054
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