An x-linked recessive disease, caused by a single gene, affects in 1/25 men (1 in 25 0.04). What is the frequency of affected females (assume Hardy-Weinberg can be applied).
A. 0.0016
B. 0.04
C. 0.2
D. 0.32
E. 0.64

Respuesta :

Answer:

Option E, [tex]0.64[/tex]

Explanation:

The frequency of x-linked recessive disease is equal to

[tex]\frac{1}{25}\\ = 0.04[/tex]

As per Hardy-Weinberg equation, the frequency of recessive genotype is represented by "[tex]q^{2}[/tex]"

Thus, here [tex]q^{2}[/tex][tex]= 0.04\\[/tex]

Frequency of recessive allele [tex]= \sqrt{q^{2} }[/tex]

Substituting the given value, we get -

[tex]q = \sqrt{0.4} \\q=0.2[/tex]

As per hardy Weinberg equation-

[tex]p+q=1\\p+0.2+1\\p=0.8[/tex]

Now "p" signifies frequency of dominant allele. Thus, frequency of dominant genotype would be

[tex]p^{2} \\0.8^2\\0.64[/tex]

Hence, option E is correct

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