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Sagot :
To determine the frequency of the [tex]\( T \)[/tex] allele in the population, we need to follow a methodical approach by examining the number of each genotype and then calculating the allele frequencies.
Here are the steps:
1. Identify the Genotype Distribution:
- Number of individuals with genotype [tex]\( TT \)[/tex]: 28
- Number of individuals with genotype [tex]\( Tt \)[/tex]: 46
- Number of individuals with genotype [tex]\( tt \)[/tex]: 26
2. Calculate the Total Number of Alleles:
Each individual has 2 alleles. Therefore, the total number of alleles in the population is given by:
[tex]\[ \text{Total alleles} = 2 \times (\text{Number of } TT \text{ individuals} + \text{Number of } Tt \text{ individuals} + \text{Number of } tt \text{ individuals}) \][/tex]
Substituting the numbers from the problem:
[tex]\[ \text{Total alleles} = 2 \times (28 + 46 + 26) = 2 \times 100 = 200 \][/tex]
3. Count the Total Number of [tex]\( T \)[/tex] Alleles:
- Each individual with genotype [tex]\( TT \)[/tex] contributes 2 [tex]\( T \)[/tex] alleles.
- Each individual with genotype [tex]\( Tt \)[/tex] contributes 1 [tex]\( T \)[/tex] allele.
- Individuals with genotype [tex]\( tt \)[/tex] do not contribute any [tex]\( T \)[/tex] alleles.
Therefore, the number of [tex]\( T \)[/tex] alleles is calculated as:
[tex]\[ \text{Number of } T \text{ alleles} = 2 \times (\text{Number of } TT \text{ individuals}) + 1 \times (\text{Number of } Tt \text{ individuals}) \][/tex]
[tex]\[ \text{Number of } T \text{ alleles} = 2 \times 28 + 46 = 56 + 46 = 102 \][/tex]
4. Calculate the Frequency of the [tex]\( T \)[/tex] Allele:
The frequency of the [tex]\( T \)[/tex] allele is found by dividing the number of [tex]\( T \)[/tex] alleles by the total number of alleles in the population:
[tex]\[ \text{Frequency of } T = \frac{\text{Number of } T \text{ alleles}}{\text{Total number of alleles}} = \frac{102}{200} = 0.51 \][/tex]
Therefore, the frequency of the [tex]\( T \)[/tex] allele in the population is [tex]\( 0.51 \)[/tex].
The correct answer is:
C. 0.51
Here are the steps:
1. Identify the Genotype Distribution:
- Number of individuals with genotype [tex]\( TT \)[/tex]: 28
- Number of individuals with genotype [tex]\( Tt \)[/tex]: 46
- Number of individuals with genotype [tex]\( tt \)[/tex]: 26
2. Calculate the Total Number of Alleles:
Each individual has 2 alleles. Therefore, the total number of alleles in the population is given by:
[tex]\[ \text{Total alleles} = 2 \times (\text{Number of } TT \text{ individuals} + \text{Number of } Tt \text{ individuals} + \text{Number of } tt \text{ individuals}) \][/tex]
Substituting the numbers from the problem:
[tex]\[ \text{Total alleles} = 2 \times (28 + 46 + 26) = 2 \times 100 = 200 \][/tex]
3. Count the Total Number of [tex]\( T \)[/tex] Alleles:
- Each individual with genotype [tex]\( TT \)[/tex] contributes 2 [tex]\( T \)[/tex] alleles.
- Each individual with genotype [tex]\( Tt \)[/tex] contributes 1 [tex]\( T \)[/tex] allele.
- Individuals with genotype [tex]\( tt \)[/tex] do not contribute any [tex]\( T \)[/tex] alleles.
Therefore, the number of [tex]\( T \)[/tex] alleles is calculated as:
[tex]\[ \text{Number of } T \text{ alleles} = 2 \times (\text{Number of } TT \text{ individuals}) + 1 \times (\text{Number of } Tt \text{ individuals}) \][/tex]
[tex]\[ \text{Number of } T \text{ alleles} = 2 \times 28 + 46 = 56 + 46 = 102 \][/tex]
4. Calculate the Frequency of the [tex]\( T \)[/tex] Allele:
The frequency of the [tex]\( T \)[/tex] allele is found by dividing the number of [tex]\( T \)[/tex] alleles by the total number of alleles in the population:
[tex]\[ \text{Frequency of } T = \frac{\text{Number of } T \text{ alleles}}{\text{Total number of alleles}} = \frac{102}{200} = 0.51 \][/tex]
Therefore, the frequency of the [tex]\( T \)[/tex] allele in the population is [tex]\( 0.51 \)[/tex].
The correct answer is:
C. 0.51
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