Question

Feral animals are animals that were domesticated but have reverted back to the wild. Populations of feral goats exist on many islands around the world, left by previous settlers or sailors who wanted to establish a source of fresh meat for future visits. Consider a population of 100 feral goats in which 75 individuals are solid black and 25 individuals are black and white spotted, the recessive phenotype. Calculate the frequency of the black allele (B) and the spotted allele (b) in the population and determine the probably frequency of each genotype (BB, Bb, and bb) in the population. Show your work.

The binomial expansion of (p+q)2 is p2 + 2pq + q2= 1. Write a sentence to describe what each of the three terms in the equation represent (with regards to population genetics and the Hardy-Weinberg principle)? In another sentence describe what p and q represent in the Hardy-Weinberg equation p + q = 1?

Please answer both if you can!

Answer 1

Solid black = BB and Bb (genotype) Black & Spotted = bb (genotype) This implies ,BB or bb = 0.75 bb = 0.25 Now q is the frequency of recessive allele;c: the probability of having both alleles ina single indidual will be q^2 q^2 = 0.25 or q = 0.5 According to Hardy - weinberg equilibrium p + q = 1 p + 0.5 = 1 p = 0.5 so, frequency of allele b is 0.5 and B is 0.5