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​Colour blindness affects approximately 1 in 12 men (8%). In a population that is in Hardy-Weinberg Equilibrium (HWE) where 8% of men are colour-blind
Question

Colour blindness affects approximately 1 in 12 men (8%). In a population that is in Hardy-Weinberg Equilibrium (HWE) where 8% of men are colour-blind due to a sex-linked recessive gene. What proportion of women are expected to be carriers?

A.

0.92

B.

0.85

C.

0.78

D.

0.15

Correct option is D

Explanation-

Given:
Colour blindness is a sex-linked recessive disorder (X-linked).
8% of men are affected => = 0.08
(since males have only one X chromosome, affected males = frequency of recessive allele )
Hardy-Weinberg in Females:
For females (who have two X chromosomes):

Carrier females (heterozygous)=2pqp+q=1=>p=1q=10.08=0.92So,2pq=2×0.92×0.08=0.14720.15\begin{aligned}&\text{Carrier females (heterozygous)} = 2pq \\&p + q = 1 \Rightarrow p = 1 - q = 1 - 0.08 = 0.92 \\&\text{So,} \\&2pq = 2 \times 0.92 \times 0.08 = 0.1472 \approx 0.15\end{aligned}

Final Answer - Option d : 0.15

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