Red-Green color blindness is an X-linked recessive disorder. In a population which is in the Hardy-Weinberg equilibrium, the incidence of occurrence of this in males is 1:1000. What will be the expected incidence of affected homozygous females?
GATE Life Sciences - 2012,
Answer: D
The expected incidence is 1 in 1000000.
For an X-linked recessive trait, a male has a single X chromosome, so he is affected whenever that X carries the allele. The frequency of affected males therefore equals the allele frequency: \(q = 1/1000\).
A female is affected only if she is homozygous, receiving the allele on both X chromosomes. Under Hardy-Weinberg equilibrium that has frequency
\[ q^{2} = \left(\frac{1}{1000}\right)^{2} = \frac{1}{1000000} \]
This is why X-linked recessive conditions are far more common in men than in women. 1 in 1002000 would come from treating 1:1000 as 1 affected to 1000 unaffected (q = 1/1001), which the key does not use; 1 in 2000000 halves the correct value, and 1 in 1001000 matches no standard calculation.
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