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In a population of 200 fish, 182 fish are blue and 18 fish are red. Eighty-four of the 182 blue fish are heterozygous for the color trait. What is the frequency of the red allele in the population?

Answer :

Final answer:

The frequency of the red allele in the population is 0.51 or 51%.

Explanation:

To determine the frequency of the red allele in the population, we can use the information provided.

Let's denote the red allele as "R" and the blue allele as "r."

Given information:

Total population (N) = 200 fish

Number of blue fish (rr) = 182

Number of redfish (RR) = 18

Number of heterozygous blue fish (Rr) = 84

Now, let's find the total number of alleles in the population:

Each fish has two alleles (since they are diploid).

Total number of alleles = 2 * N = 2 * 200 = 400 alleles in the population.

Now, let's break down the alleles based on the color trait:

Homozygous blue (rr) alleles in blue fish: 182 * 2 = 364 alleles.

Homozygous red (RR) alleles in red fish: 18 * 2 = 36 alleles.

Heterozygous blue (Rr) alleles in blue fish: 84 * 2 = 168 alleles.

Now, calculate the total number of red alleles (R) in the population:

Total red alleles = Homozygous red alleles + Heterozygous blue alleles = 36 + 168 = 204 alleles.

Finally, calculate the frequency of the red allele:

Frequency of the red allele (q) = Total red alleles / Total alleles = 204 / 400 = 0.51

So, the frequency of the red allele in the population is 0.51 or 51%.

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