You are studying a population of geese in which there are two color phases,brown and gray.Color in this species is controlled by a single gene,with brown dominant to gray.A random sample of 250 geese shows that 210 are brown.What percentage of the brown geese are heterozygous? (Assume that the population is in Hardy-Weinberg equilibrium.)
A)36%
B)43%
C)48%
D)57%
E)84%

Question

Quizplus · Accepted Answer

To find the percentage of heterozygous brown geese, first calculate the allele frequencies. Let p be the frequency of the brown allele and q be the frequency of the gray allele. Since 210 out of 250 geese are brown, 40 are gray, which are homozygous recessive (q^2). Thus, q^2 = 40/250 = 0.16, so q = 0.4. Therefore, p = 1 - q = 0.6. The frequency of heterozygous brown geese is 2pq = 2(0.6)(0.4) = 0.48. Since 210 geese are brown, 0.48 * 250 = 120 are heterozygous. The percentage of heterozygous brown geese is (120/210) * 100% = 57%.

You Are Studying a Population of Geese in Which There