In a population of 200 mice,brown fur is dominant to gray fur.If 120 of the 200 mice have brown fur,what is the frequency of mice that are heterozygous?
A)46%
B)23%
C)37%
D)63%

Question

Quizplus · Accepted Answer

46%Given that brown fur is dominant, the 120 brown-furred mice could be either homozygous dominant (BB) or heterozygous (Bb). The remaining 80 mice must be homozygous recessive (bb) for gray fur, as gray fur is recessive. Using the Hardy-Weinberg principle, we can calculate the frequency of the recessive allele (q^2) as the proportion of gray-furred mice (80/200 = 0.4). Thus, q = sqrt(0.4) = 0.63, and p = 1 - q = 0.37. The frequency of heterozygous individuals (2pq) is 2 * 0.37 * 0.63 = 0.4662, or approximately 46%.

In a Population of 200 Mice,brown Fur Is Dominant to Gray