Part C - Using the Hardy-Weinberg equation to determine if a population appears
ID: 277310 • Letter: P
Question
Part C - Using the Hardy-Weinberg equation to determine if a population appears to be evolving A hypothetical population of 300 wolves has two alleles, FB and FW, for a locus that codes for fur color. The table below describes the phenotype of a wolf with each possible genotype, as well as the number of individuals in the population with each genotype. Which statements accurately describe the population of wolves? Phenotype Number of individuals in population Genotype (fur color) black FB-B 40 gray FBFW 40 white FW-W 220 Adapted from Biology by Campbell and Reece 9 2008 Pearson Education Inc. Select the four statements that are true. View Available Hint(s) Based on the equation for Hardy-Weinberg equilbrium, the expected number of wolves with the F genotype is 40 Based on the equation for Hardy-Weinberg equilbrium, the expected number of wolves withthe FFBgenotype is 12. Based on the equation for Hardy-Weinberg equilbrium, the expected number of wolves with the Fgenotype is 40 Based on the equation for Hardy-Weinberg equillbrium, the expected number of wolves with the FBFW genotype is 96 The population is not at Hardy-Weinberg equilibrium The population is not evolving because it is at Hardy-Weinberg equilibrium The population may be evolving because the actual number of individuals with each genotype differs from the expected number of individuals with each genotype.Explanation / Answer
Allele frequecy = [(2*Number of homozygous) + (1*Number of heterozygous)] / (2*Total number of individuals)
Allele frequency of FB (p)= [(2*40)+(1*40)] / (2*300) = 120/600 = 0.2
Allele frequency of FW (q)= [(2*220)+(1*40)] / (2*300) = 480/600 = 0.8
FBFB frequency = p2 = 0.22 =0.04
FWFW frequency = q2 = 0.82 = 0.64
FBFW frequency = 2pq = 2*0.2*0.8 = 0.32
According to HWE,
Expected Number of individuals with FBFB = 0.04*300 = 12
Expected Number of individuals with FWFW = 0.64*300 = 192
Expected Number of individuals with FBFW = 0.32*300 = 96
Expected number of individuals is not equal to observed number of individuals. So the population is not in HWE and it is evolving.
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