PopGen_problem_set - POPULATION GENETICS PROBLEM SET BIOLOGY 54 FALL 2004 Answer all of the following problems Show calculations as well as results

P OPULATION G ENETICS P ROBLEM S ET B IOLOGY 54 F ALL 2004 Answer all of the following problems. Show calculations as well as results. 1. (HWE) Electrophoresis was used to study the gene for phosphoglucose isomerase-2 in the evening primrose Oenothera biennis . Two alleles ( A and a ) were observed that affected electrophoretic mobility of the enzyme, and 40 AA, 2 Aa, and 18 aa genotypes were found among 60 individuals. a. Calculate the allele frequencies p = f(A) and q = f(a). b. What numbers of the genotypes would be expected if the HW assumption were met? c. Is this population in HWE? 2. (HWE) Tay-Sachs is a recessive genetic disease that is lethal in early childhood. Among Jews in the United States, about 1 in 2,800 children are affected. Assuming random mating among US Jews, what is the frequency of heterozygous carriers? 3. (HWE) An experimental population of Drosophila melanogaster is started with 100 AA females and 100 aa males. a. What will be the genotype frequencies in the F 1 and F 2 generations, assuming random mating and that all genotypes reproduce and survive equally well?