Question

question 8 of 10
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 t1, t2, and t3. the numbers of individuals with each of the possible genotypes are shown in the table.

what is the frequency of the t2 allele?

a. 36%
b. 72%
c. 28%
d. 55%

Explanation:

Step1: Calculate total number of individuals

$$\begin{align*} &50 + 60+40 + 50+55 + 45\\ =&(50 + 60)+(40 + 50)+(55 + 45)\\ =&110+90 + 100\\ =&300 \end{align*}$$

Step2: Calculate number of T2 alleles

For \(T1T2\): \(60\times1\) (one \(T2\) allele per individual). For \(T2T2\): \(50\times2\) (two \(T2\) alleles per individual). For \(T2T3\): \(55\times1\) (one \(T2\) allele per individual).
$$60\times1+50\times2 + 55\times1=60 + 100+55 = 215$$

Step3: Calculate total number of alleles

Since each individual has 2 alleles, total alleles \(=300\times2=600\)

Step4: Calculate frequency of T2 allele

Frequency \(=\frac{215}{600}\approx0.36 = 36\%\)

Answer:

A. 36%