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What is the frequency of the golden phenotype?

A. [tex]\( \frac{37}{50} \)[/tex]
B. [tex]\( \frac{13}{50} \)[/tex]
C. [tex]\( \frac{12}{37} \)[/tex]
D. [tex]\( \frac{13}{38} \)[/tex]


Sagot :

To determine the frequency of the golden phenotype in the hamster population, follow these steps:

1. Identify the number of hamsters for each genotype and phenotype:
- Genotype GG (Golden phenotype): 12 hamsters
- Genotype Gg (Golden phenotype): 25 hamsters
- Genotype gg (Black phenotype): 13 hamsters

2. Calculate the total number of hamsters:
- Total number of hamsters = Number of GG hamsters + Number of Gg hamsters + Number of gg hamsters
- Total number of hamsters = 12 + 25 + 13
- Total number of hamsters = 50

3. Calculate the total number of hamsters exhibiting the golden phenotype:
- Total number of golden phenotype hamsters = Number of GG hamsters + Number of Gg hamsters
- Total number of golden phenotype hamsters = 12 + 25
- Total number of golden phenotype hamsters = 37

4. Find the frequency of the golden phenotype:
- Frequency is the ratio of golden phenotype hamsters to the total number of hamsters.
- Frequency of golden phenotype = Number of golden phenotype hamsters / Total number of hamsters
- Frequency of golden phenotype = 37 / 50

After these calculations, we find that the frequency of the golden phenotype in the hamster population is [tex]\( \frac{37}{50} \)[/tex].

Thus, the correct answer is:
A. [tex]\(\frac{37}{50}\)[/tex]