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Hardy-Weinberg Equilibrium Problems (Chapter 13) Honors Biology For all problems, assume the population is in Hardy-Weinberg Equilibrium (allele frequencies are not changing – non evolving population). 1. One in 1700 US Caucasian newborns have cystic fibrosis. C for normal is dominant over c for cystic fibrosis. a) Determine the frequency of each allele and each genotype in the population. b) How many of the 1700 of the population are homozygous Normal? c) How many of the 1700 in the population are heterozygous (carrier)? d) When counting the phenotypes in a population why is cc the most significant? 2. Albinism is a rare genetically inherited trait that is only expressed in the phenotype of homozygous recessive individuals (aa). The most characteristic symptom is a marked deficiency in the skin and hair pigment melanin. This condition can occur among any human group as well as among other animal species. The average human frequency of albinism in North America is only about 1 in 20,000. a) Determine the frequency of each allele b) What percentage of the population are carriers of Albinism? c) What percentage of the population are homozygous “normal”? 3. If 9% of an African population is born with a severe form of sickle-cell anemia (ss), what percentage of the population will be more resistant to malaria because they are heterozygous (Ss) for the sickle-cell gene? 4. This is a classic data set on wing coloration in the scarlet tiger moth (Panaxia dominula). Coloration in this species had been previously shown to behave as a singlelocus, two-allele system with incomplete dominance. Data for 1612 individuals are given below: White-spotted (AA) = ? Intermediate = (Aa) = ? Little spotting (aa) = 5 Calculate the following frequencies: A= a= AA = Aa = aa = Determine the number of white-spotted and intermediate individuals: 5. After graduation, you and 19 friends build a raft, sail to a deserted island, and start a new population, totally isolated from the world. Two of your friends carry (that is, are heterozygous for) the recessive cystic fibrosis allele (c), which in homozygotes causes cystic fibrosis. A. Assuming that the frequency of this allele does not change as the population grows (Hardy-Weinberg Equilibrium), what will be the instance of cystic fibrosis on your island? B. Cystic fibrosis births on the island are how many times greater than the original mainland. The frequency of births on the mainland is .059%.