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Given that the frequency of color blind females is 1 in 25000, calculate the expected frequency of female carriers using the Hardy-Weinberg principle.
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4 stepsUnderstand the genetic basis of color blindness.
Color blindness is an X-linked recessive trait. For females, the genotypes are (normal vision), (carrier), and (color blind). According to the Hardy-Weinberg principle, if is the frequency of the dominant allele () and is the frequency of the recessive allele (), then the frequency of color blind females () is .
Calculate the frequency of the recessive allele ().
The frequency of color blind females is given as 1 in 25000.
To find , take the square root of :
Calculate the frequency of the dominant allele ().
Using the Hardy-Weinberg equation :
Calculate the frequency of female carriers.
Female carriers have the genotype . Their frequency in the population is given by .
Rounding to five decimal places, the expected frequency of carriers is 0.01257.
The expected frequency of the carriers of this allele in the population is approximately .
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