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"under HWE the genotype frequency of heterozygous individuals is expected to be greatest when the frequency of dominant and recessive alleles are the same. true or false"

          "under HWE the genotype frequency of heterozygous individuals is expected to be greatest when the frequency of dominant and recessive alleles are the same. true or false"
        

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Biology for AP Courses
Biology for AP Courses
Julianne Zedalis, John Eggebrecht
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"under HWE the genotype frequency of heterozygous individuals is expected to be greatest when the frequency of dominant and recessive alleles are the same. true or false"
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The graph below shows the relationship between allele frequencies of two possible alleles for a gene in a population of a diploid organism. A. There is at least one point on the line where the frequency of heterozygotes will be greater than 0.50 for a population that is in Hardy-Weinberg equilibrium. True or false ?

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Transcript

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00:01 Okay, this question here says, under hardy -wember equilibrium, the genotype frequency of heterozygous individuals is expected to be greatest when the frequency of dominant and recessive alleles are the same.
00:14 Well, so let's check it out.
00:15 In this case, p plus q is equal to 1, remember, where p is the frequency for the alleles that is dominant and q is the frequency for the recessive alleles.
00:24 You also have that p squared plus 2pq plus q squared is equal to 1, where p squared is the frequency of homozygous dominant, 2pq is the frequency of heterozygous, and q squared is the frequency of homozygous recessive.
00:35 Now, in this case, they are asking you, under hardy -wember equilibrium, the genotype frequency of heterozygous individuals is expected to be greatest when the frequency of dominant and recessive alleles are the same.
00:46 So in this case, if they are the same, then it means that p is equal to q.
00:49 So you would have 2p is equal to 1 and p is equal to, if you divide by 2 here, and also here, you're going to get that p is equal to 0 .5.
00:57 And as p and q are the same, then it means that this is equal to 0 .5 and q is also 0 .5.
01:05 So if you find the value for 2pq, you're going to get 2 multiplied by 0 .5 and by 0 .5, and this is going to be equal to 0 .5...
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