In Brookline Village, we see 76 mitten cats and 324 normal cats as:
19% 76 are pure bred recessive
32% or 128 are pure bred dominants
49% 196 are hybrids.
Explanation:
Data given:
number of mittens = 76 (homozygous recessive)
normal cats = 324 (dominant)
purebred dominant or homozygous dominant = ?
homozygous recessive =?
heterozygous or hybrids =?
total cats = 400
purebred or homozygous recessive is mitten cats = 76
frequency of homozygous recssive individuals = [tex]\frac{76}{400}[/tex]
[tex]q^{2}[/tex] = 0.19 (individuals with recessive genotype or 19%
q= 0.43
frequency of p+q =1
1-0.43 = p
0.57 = p and [tex]p^{2}[/tex]
(individuals with dominant genotype [tex]p^{2}[/tex] = 0.32
32 % of total individuals are purebred dominant
[tex]\frac{32}{100}[/tex] x 400 = 128
p =0.57
heterozygous or hybrid individual = 2pq
2(0.43 x 0.57
= 0.49 or 49%
[tex]\frac{49}{100}[/tex] x 400 = 196 cats are hybrid or heterozygous
