Domenstic guinea pigs with a \"rosette\" coat type (see picture below) are domin

Question

Domenstic guinea pigs with a "rosette" coat type (see picture below) are dominant to those with a smooth coat. Guinea pigs are often purposely bred for different traits, but assume the conditions necessary to Hardy-Weinberg equilibrium for the following population, including random mating (no natural or artificial selection of traits). If 168 out of a population of 200 display the rosette coat type, determine the following and show your work.

a) What is the predicted frequency of heterozygotes?

b) What is the predicted frequency of homozygous dominant?

c) What is the predicted frequency of homozygous recessive?

Explanation / Answer

Answer:

Based on the information:

As per Hardy Weinberg equilibrium p2 + 2pq + q2 = 1 and p + q = 1

p = 1- q = 1-0.4 = 0.6

a) What is the predicted frequency of heterozygotes?

Predicted frequency of heterozygotes = 2*p*q = 2 * 0.4 * 0.6 = 0.48

b) What is the predicted frequency of homozygous dominant?

predicted frequency of homozygous dominant = p2 = 0.62 = 0.36

c) What is the predicted frequency of homozygous recessive?

Predicted frequency of homozygous recessive = q2 = 0.42 = 0.16

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