You find a population of spotted salamanders that previous researchers have determinedis in Hardy-Weinberg equilibrium. The allele that confers yellow spots (Y) is dominantThe frequency of yellow-spotted salamanders in this population is 0.51 (This means51% of the salamanders areyellow-spotted.)What is the frequency of heterozygotes (Yy) in this population?What is the frequency of homozygous dominants (YY) in this population?

Question
Asked Jun 12, 2019
You find a population of spotted salamanders that previous researchers have determined
is in Hardy-Weinberg equilibrium. The allele that confers yellow spots (Y) is dominant
The frequency of yellow-spotted salamanders in this population is 0.51 (This means
51% of the salamanders are
yellow-spotted.)
What is the frequency of heterozygotes (Yy) in this population?
What is the frequency of homozygous dominants (YY) in this population?
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You find a population of spotted salamanders that previous researchers have determined is in Hardy-Weinberg equilibrium. The allele that confers yellow spots (Y) is dominant The frequency of yellow-spotted salamanders in this population is 0.51 (This means 51% of the salamanders are yellow-spotted.) What is the frequency of heterozygotes (Yy) in this population? What is the frequency of homozygous dominants (YY) in this population?

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Expert Answer

Step 1

The Hardy-Weinberg equation is a mathematical equation that can be used to calculate the genetic variation of a population at equilibrium. The Hardy-Weinberg equation is expressed as:

p2 + 2pq + q2 = 1

where, p is the frequency of the dominant allele and q is the frequency of the recessive allele in the population. In the equation, p2 represents the frequency of the homozygous dominant genotype, q2 represents the frequency of the homozygous recessive genotype, and 2pq represents the frequency of the heterozygous genotype. In addition, the sum of the allele frequencies for all the alleles at the locus must be 1. So,

 p + q =1

Step 2

The homozygous dominant allele and the homozygous recessive allele are represented as p and q respectively.

Frequency of the yellow-spotted salamanders is 0.51
Therefore, p2 0.51
Or, p V0.5 0.71
We know, p q 1
So, q 10.71
Or, q 0.29
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Frequency of the yellow-spotted salamanders is 0.51 Therefore, p2 0.51 Or, p V0.5 0.71 We know, p q 1 So, q 10.71 Or, q 0.29

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Step 3

The frequency of the dominant allele (p) is 0.71 and that of the recessive allele (q) is 0.29. The frequency ...

According to the Hardy-Weinberg equation
p2 2pqq2 1
0.51 2pq(0.29)2= 1
0.51 2pq0.08 1
Or, 2pq (0.51 + 0.08)
Or, 2pq 0.41
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According to the Hardy-Weinberg equation p2 2pqq2 1 0.51 2pq(0.29)2= 1 0.51 2pq0.08 1 Or, 2pq (0.51 + 0.08) Or, 2pq 0.41

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