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I just want to see if I filled out everything correctly. Thanks. Does my explana

ID: 94674 • Letter: I

Question

I just want to see if I filled out everything correctly. Thanks. Does my explanation make sense?

1. In an electrophoretic study of enzyme variation in a species of pelican, you find 77 A1A1, 45 A1A2, and 18 A2A2 individuals at a particular locus in a sample of 140. What are the allele frequencies for the A1 and A2 alleles? Calculate the genotype frequencies for this locus.

Genotypes

A1A1

A1A2

A2A2

Number of individuals

77

45

18

Genotype frequencies

0.71 x 0.71 x 140 = 70.57

2 x 0.71 x 0.29 =

57.65

0.29 x 0.29 x 140 =

11.77

Frequency of A1 allele

199/280 = 0.71

Frequency of A2 allele

81/280 = 0.29

Show whether these genotype frequencies are in Hardy-Weinberg equilibrium.

The genotype frequencies calculated are what is to be expected of each genotype, however the number of individuals reflected shows that while it is close to theoretical values, it is not exact and so the population is not in expected Hardy – Weinberg equilibrium.

Genotypes

A1A1

A1A2

A2A2

Number of individuals

77

45

18

Genotype frequencies

0.71 x 0.71 x 140 = 70.57

2 x 0.71 x 0.29 =

57.65

0.29 x 0.29 x 140 =

11.77

Explanation / Answer

Frequency of A1 allele = F(A1A1) + F(A1A2)/2

= 0.77 + (0.45)/2

= 0.77 + 0.225

= 0.995

Frequency of A2 allele = F(A2A2) + F(A1A2)

= 0.18 + 0.225

= 0.405

When the population is in Hardy-Weinberg's equilibrium,

p + q = 1 and p2 + 2pq + q2 =1

Here, p + q = 0.995 + 0.405 = 1.4

p2 + 2pq + q2

= (0.995)2 + 2(0.995)(0.405) + (0.405)2

= 0.99 + 0.80 + 0.16

= 1.95

Both values are not equal to 1. So, the population is not in Hardy-Weinberg's equilibrium.