If 20% of the individuals in a population have sickle-cell anemia, according to the Hardy Weinberg equation, what proportion of the population should be sickle-cell carriers?
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If 20% of the individuals in a population have sickle-cell anemia, according to the Hardy Weinberg equation, what proportion of the population should be sickle-cell carriers?
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AnnaApril 7, 2023 в 21:28
According to the Hardy Weinberg equation, the proportion of individuals who carry a sickle-cell allele (but do not have sickle-cell anemia) can be calculated using the equation:
2pq = proportion of heterozygotes
Where p = frequency of the sickle-cell allele
And q = frequency of the normal allele
Since sickle-cell anemia has a frequency of 0.2 (or 20%), the frequency of the sickle-cell allele (p) can be calculated as the square root of 0.2 (or 0.447).
The frequency of the normal allele (q) can be calculated as 1 - p, which equals 0.553.
Plugging these values into the Hardy Weinberg equation:
2pq = 2(0.447)(0.553) = 0.494
Therefore, \approx imately 49.4% of the population should be sickle-cell carriers.
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