Answered

IDNLearn.com offers a comprehensive solution for finding accurate answers quickly. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.

A certain gene in a tree species determines how long it takes for a seed to germinate. In one population, the alleles for this gene are [tex]$T_1$[/tex], [tex]$T_2$[/tex], and [tex]$T_3$[/tex].

The numbers of individuals with each of the possible genotypes are shown in the table.
\begin{tabular}{|l|l|}
\hline Genotype & Number of individuals \\
\hline [tex]$T_1 T_1$[/tex] & 50 \\
\hline [tex]$T_1 T_2$[/tex] & 60 \\
\hline [tex]$T_1 T_3$[/tex] & 40 \\
\hline [tex]$T_2 T_2$[/tex] & 50 \\
\hline [tex]$T_2 T_3$[/tex] & 55 \\
\hline [tex]$T_3 T_3$[/tex] & 45 \\
\hline
\end{tabular}

What is the frequency of the [tex]$T_2$[/tex] allele?

A. [tex]$36\%$[/tex]
B. [tex]$72\%$[/tex]
C. [tex]$28\%$[/tex]
D. [tex]$55\%$[/tex]

Sagot :

GinnyAnsweridn
To determine the frequency of the [tex]\( T2 \)[/tex] allele, let's go through the calculations step by step:

1. Count the total number of individuals:
- For the [tex]\( T1T1 \)[/tex] genotype, there are 50 individuals.
- For the [tex]\( T1T2 \)[/tex] genotype, there are 60 individuals.
- For the [tex]\( T1T3 \)[/tex] genotype, there are 40 individuals.
- For the [tex]\( T2T2 \)[/tex] genotype, there are 50 individuals.
- For the [tex]\( T2T3 \)[/tex] genotype, there are 55 individuals.
- For the [tex]\( T3T3 \)[/tex] genotype, there are 45 individuals.

Adding these up gives us the total number of individuals:
[tex]\[ 50 + 60 + 40 + 50 + 55 + 45 = 300 \][/tex]

2. Count the total number of [tex]\( T2 \)[/tex] alleles:
- Each individual with [tex]\( T2T2 \)[/tex] contributes 2 alleles of [tex]\( T2 \)[/tex]:
[tex]\[ 2 \times 50 = 100 \][/tex]
- Each individual with [tex]\( T1T2 \)[/tex] contributes 1 allele of [tex]\( T2 \)[/tex]:
[tex]\[ 60 \times 1 = 60 \][/tex]
- Each individual with [tex]\( T2T3 \)[/tex] contributes 1 allele of [tex]\( T2 \)[/tex]:
[tex]\[ 55 \times 1 = 55 \][/tex]

Adding these values together gives us the total number of [tex]\( T2 \)[/tex] alleles:
[tex]\[ 100 + 60 + 55 = 215 \][/tex]

3. Calculate the total number of alleles in the population:
Since each individual carries two alleles, the total number of alleles in the population is:
[tex]\[ 2 \times 300 = 600 \][/tex]

4. Calculate the frequency of the [tex]\( T2 \)[/tex] allele:
The frequency of the [tex]\( T2 \)[/tex] allele is given by the ratio of the number of [tex]\( T2 \)[/tex] alleles to the total number of alleles. To find this, we divide the number of [tex]\( T2 \)[/tex] alleles by the total number of alleles:
[tex]\[ \frac{215}{600} \][/tex]

5. Convert the frequency to a percentage:
To convert this frequency to a percentage, we multiply by 100:
[tex]\[ \frac{215}{600} \times 100 \approx 35.83\% \][/tex]

Rounding to the nearest whole number, we get:
[tex]\[ \approx 36\% \][/tex]

Thus, the frequency of the [tex]\( T2 \)[/tex] allele is approximately [tex]\( 36\% \)[/tex].

Therefore, the correct option is:

A. [tex]\( 36\% \)[/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.