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HARDY-WEINBERG PRINCIPLE PROBLEMS 1. In a given population of organisms, the dominant allele (p) has a frequency of 0.7, and the recessive allele (q) has a frequency of 0.3. Use the Hardy-Weinberg formula to determine the genotype frequencies within the population. 2. In Tanzania, 4% of the population are homozygous for the sickle-cell anemia gene and 32% are heterozygous. From this data, calculate the proportion of alleles that are recessive and dominant. 3. Ten percent of the genes for coat colour in a rabbit population are albino (b) while 90 percent code for black coat (B). What percentage of the rabbits are heterozygous if the Hardy-Weinberg principle holds true? 4. In a population with two alleles for a particular trait, B and b, the allele frequency of B is 0.7. What would be the frequency of the three possible genotypes in the population? 5. In a population that is in equilibrium, 16% of the individuals show the recessive phenotype. What is the frequency of the dominant allele in the population? What proportion of the population is heterozygous for this trait? 6. The proportion of homozygous recessives of a certain trait in a large population is 0.09. Assuming the gene pool is in equilibrium and all genotypes are equally successful in reproduction, what proportion of heterozygous individuals would you expect to find in the population? 7. Assume that Rh blood types are controlled by a single pair of alleles. Further, assume that Rh-neg. individuals (rr) comprise 15% of a stable population of 1000 individuals. Calculate the frequency of the alleles R and r and the expected genotype distribution. 8. In a small population, 30% is blood group M, 50% is blood group MN, 20% is of blood group N. What are the gene frequencies?? 9. In England the frequency of the i allele of the ABO blood group series is 0.6. What is the frequency of the I allele (IA and IB combined)? What proportion of the population has type O blood? 10. Among black Americans, the frequency of sickle cell anemia is about 0.0025. What is the frequency of heterozygotes if sickle cell anemia is created by a recessive allele? 11. In a group of 812 individuals, 91% are tasters. The ability to taste PTC paper is dominant. What are the gene frequencies in this population? What are the genotype frequencies? 12. Two pirates and three Polynesian beauties settled on a previously uninhabited tropical island. All five of these settlers had brown eyes, but one man carried the recessive allele for blue eyes. No new vagabonds arrive on the island and no one leaves this tropical paradise. When the island population reaches 20,000 individuals, approximately how many people would you expect to have blue eyes if you assume the population to be in Hardy-Weinberg equilibrium? 13. Approximately one child in 10,000 is born with the recessive disease PKU (phenylketonuria). What is the frequency of this allele in the population? What percent of the population are carriers of this defective gene?