Fraction of butterflies have a homozygous dominant phenotype is 13/100 or 13%.
The Hardy-Weinberg principle states that allele and genotype frequencies in populations remain constant even in the absence of evolutionary mechanisms. Ultimately, the Hardy-Weinberg principle models populations without evolution under the following conditions: No mutation. No Immigration.
p² + 2pq + q² = 0
Where, p² = frequency of dominant (BB) allele
q² = frequency of recessive (bb) allele
2pq = frequency of heterozygous dominant (bb) allele
For the given question:
Since white is recessive (bb), and 40% of the butterflies are white, then bb = q² = 0.4.
To determine q,
which is the frequency of the recessive allele = q²
q =√0.4
q = 0.632
Since, p + q = 1,
1 - 0.63 = 0.37
p = 0.37
So, the frequency of dominant allele = p²
p² = 0.1369
The dominant brown butterflies are 13%
To know more about Hardy-Weinberg principle, visit:
https://brainly.com/question/1365714
#SPJ4