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In a population of stickleback fish, the presence of body armor is encoded by a single gene. Let the A allele be armored and dominant, and the B allele be non-armored and recessive.

You are studying a population with 50 armored sticklebacks and 70 sticklebacks without armor. The population is in Hardy-Weinberg equilibrium. What is the expected frequency of the B allele in the next generation?

Answer :

Final answer:

The expected frequency of the B allele in the next generation is approximately 0.5833.

Explanation:

To determine the expected frequency of the B allele in the next generation, we can use the Hardy-Weinberg Equilibrium equation. In this case, the A allele is dominant and the B allele is recessive.

Given that there are 50 armored sticklebacks and 70 sticklebacks without armor in the population, we can calculate the frequencies of the A and B alleles.

Let's assume that p represents the frequency of the A allele and q represents the frequency of the B allele.

According to the equation, [tex]p^{2}[/tex] + 2pq + [tex]q^{2}[/tex] = 1.

Since the population is in Hardy-Weinberg Equilibrium, we can assume that the frequencies of the alleles will remain constant from generation to generation.

From the given information, we know that there are 50 armored sticklebacks, which means that the frequency of the A allele (p) is 50/120 = 0.4167.

Since the population is in equilibrium, the frequency of the B allele (q) can be calculated as 1 - p = 1 - 0.4167 = 0.5833.

Therefore, the expected frequency of the B allele in the next generation is approximately 0.5833.

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