To determine the frequency of allele [tex]\( c \)[/tex], we need to remember that the sum of the allele frequencies in a population must equal 1. This is based on the principle that all possible allele frequencies must account for 100% of the population.
Given:
- Frequency of allele [tex]\( a \)[/tex] ([tex]\( \text{freq}_a \)[/tex]) = 0.4
- Frequency of allele [tex]\( b \)[/tex] ([tex]\( \text{freq}_b \)[/tex]) = 0.3
The sum of these frequencies with the frequency of allele [tex]\( c \)[/tex] ([tex]\( \text{freq}_c \)[/tex]) should be 1. Therefore, we can set up the equation:
[tex]\[
\text{freq}_a + \text{freq}_b + \text{freq}_c = 1
\][/tex]
Substituting the known frequencies into the equation:
[tex]\[
0.4 + 0.3 + \text{freq}_c = 1
\][/tex]
Now, solve for [tex]\( \text{freq}_c \)[/tex]:
[tex]\[
0.7 + \text{freq}_c = 1
\][/tex]
[tex]\[
\text{freq}_c = 1 - 0.7
\][/tex]
[tex]\[
\text{freq}_c = 0.3
\][/tex]
Therefore, the frequency for allele [tex]\( c \)[/tex] is [tex]\( 0.3 \)[/tex].
The correct answer is:
- [tex]\( c=0.3 \)[/tex]
