Homework SourseA population of beetles was scored for color The frequencies
A population of beetles was scored for color. The frequencies of the genotypes and their relative fitness values are given in the table below.
1. What is the frequency of black beetles after selection? Please round your answer correctly to 4 decimal digits.
2. What is the frequency of brown beetles after selection? Please round your answer correctly to 4 decimal digits.
3. What is the frequency of white beetles after selection? Please round your answer correctly to 4 decimal digits.
| Genotype | BB | Bb | bb |
| Phenotype | Black | Brown | White |
| Frequency | 0.16 | 0.48 | 0.36 |
| Fitness | 0.6 | 0.89 | 1 |
Solution
A population of beetles was scored for color. The frequencies of the genotypes and their relative fitness values are given in the table below.
Genotype
BB
Bb
bb
Phenotype
Black
Brown
White
Frequency
0.16
0.48
0.36
Fitness
0.6
0.89
1
Using this formula,
p2 wBB + 2pqwBb + q2 wbb = population mean fittness
w 0.16*0.6 + 2*0.48*0.96 + 0.36*1 = w = 1.3776
1. What is the frequency of black beetles after selection? Please round your answer correctly to 4 decimal digits.
=p2 wBB =0.16*0.6 /1.3776=0.0696
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2. What is the frequency of brown beetles after selection? Please round your answer correctly to 4 decimal digits.
=2*0.48*0.96 /1.3776=0.6689
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3. What is the frequency of white beetles after selection? Please round your answer correctly to 4 decimal digits.
=.36*1 /1.3776=0.2613
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0.2613 +0.6689 +0.0696=0.9998=1
| Genotype | BB | Bb | bb |
| Phenotype | Black | Brown | White |
| Frequency | 0.16 | 0.48 | 0.36 |
| Fitness | 0.6 | 0.89 | 1 |
