2 0.590.590.35 After graduation, you and 19 of your closest friends (lets say 10

Question

2 0.590.590.35 After graduation, you and 19 of your closest friends (lets say 10 males and 10 females) charter a plane to go on a round-the-world tour. Unfortunately, you all crash lard (safely) on a deserted island. No one finds you and you start a new population totally isolated from the rest of the world. Two of your friends carry (i.e. are heterozygous for) the recessive cystic fibrosis allele (c). Assuming that the frequency of this allele does not change as the population grows, what will be the incidence of cystic fibrosis on your island? 6. MacBook Pro

Explanation / Answer

Hardy Weinberg Equilibrium states: p2 + 2pq + q2 = 1. p2represents the frequency of the homozygous genotype AA, q2 represents the frequency of the homozygous genotype aa, and 2pq represents the frequency of the heterozygous genotype Aa. Also, the sum of the allele frequencies for all the alleles is p + q = 1.

C + c = 1

Total number of alleles: 20 people X 2 alleles = 40 alleles;

There are 2 individuals who are heterozygous (carriers). The genotype is Cc.

So, the frequency of 'c' in the population is = 2/40= 0.05

So, the people having Cystic fibrosis is cc= (0.05)2 = 0.0025= 0.25%

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