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allsm [11]
3 years ago
6

Suppose a population is carrying a condition controlled by two alleles: P (dominant) and p (recessive). Only homozygous individu

als that have two copies of the recessive allele have the condition. If the p allele is found in 15 percent of the population, what's the frequency of the PP genotype?
A. 25.5 percent
B. 72.25 percent
C. 2.25 percent
D. 12.75 percent
Biology
1 answer:
Virty [35]3 years ago
7 0

<span>The answer is B. 72.25 percent.

The Hardy-Weinberg principle can be used:</span>

<em>p² + 2pq + q² = 1 </em>and <em>p + q = 1</em>

where <em>p</em> and <em>q</em> are the frequencies of the alleles, and <em>p²</em>, <em>q²</em> and <em>2pq</em> are the frequencies of the genotypes.

<span>The <em>p</em> allele (<em>q</em>) is found in 15% of the population:
q = 15% = 15/100
Thus, q = </span><span>0.15

To calculate the <em>P</em> allele frequency (<em>p</em>), the formula <em>p + q = 1</em> can be used:
If p + q = 1, then p = 1 - q
p = 1 - 0.15
Thus, </span><span>p = 0.85

Knowing the frequency of the <em>P</em> allele (<em>p</em>), it is easy to determine the frequency of the <em>PP </em>genotype (<em>p²</em>):
p² = 0.85² = 0.7225

Expressed in percentage, p² = 72.25%.</span>

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