The predicated frequency of homozygous dominant rats at are: 0.11 (Option A). See the explanation below.
<h3>What is a
homozygous dominant rat?</h3>
A homozygous organism has two copies of the same allele for a gene.
If an organism has two copies of the same dominant allele, it is homozygous dominant; if it has two copies of the same recessive gene, it is homozygous recessive.
<h3>
What is the justification of the above answer?</h3>
Note that the total population of rats is: 200
Number of rats with brown fur = 112
The frequency of brown fur rats thus,
112/200
= 0.56
Note that it is also stated that the brown fur rats are dominant in relation to the gray fur rats. Thus, in accordance to Hardy Weinberg's equation, the frequency of the dominant rats is depicted as: p²
Thus:
p² + 2pq = 0.56
Hence, the frequency of the the Homozygous recessive gray rats is given as:
p² + q² + 2pq = 1
q² = 1 - 0.56
q² = 0.44
q = 0.663
P = 1-q
= 1 - 0.663
= 0.337
Thus the frequency of the homozygous dominant rats is:
p²
= 0.337²
= 0.1135
≈ 0.11
Therefore the correct answer is A.
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