Rabbit ears can be either shorter floppy where short ears or dominant over floppy ears there are 653 individuals in a population of 104 rabbits have floppy years and 549 have short ears find the frequency of dominant and recessive alleles and the frequency of individuals with dominant heterozygous and recessive genotypes

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podgorica podgorica · Answer 1 · 2020-01-03T10:58:52+01:00

Answer:

frequency of dominant and recessive alleles - 0.6, 0.4

frequency of individuals with dominant, heterozygous and recessive genotypes - 0.36, 0.48, 0.16

Explanation:

Given -

Short ears (S) is dominant over floppy ears.

Total population of rabbits [tex]= 653[/tex]

Population of rabbits with floppy ears [tex]= 104[/tex]

Population of rabbits with short ears [tex]= 549[/tex]

Frequency of rabbits with floppy ears is equal to

[tex]\frac{104}{653} \\= 0.159[/tex]

Thus as per Hardy weinberg's equation, frequency of recessive phenotype is represented by [tex]q^2\\[/tex]

Thus,

[tex]q^2 = 0.159 =0.16\\q = \sqrt{0.16} \\q = 0.4[/tex]

Thus,

[tex]p = 1-q\\p = 1-0.4\\p= 0.6[/tex]

Frequency of rabbits with short ears only

[tex]= p^ 2 \\= 0.6^2\\= 0.36\\[/tex]

Frequency of heterozygous rabbit (Ss)

[tex]p^2 + q^2 + 2pq = 1\\0.16 + 0.36 + 2pq = 1\\2pq = 1 - 0.36-0.16\\2pq = 0.48[/tex]