10. A moth has three alleles at a locus that controls antenna color: Xa and Xs-?

Question

10. A moth has three alleles at a locus that controls antenna color: Xa and Xs-?, is dominant to xa and Xu Xiproducesredantennae?x, is co-dominant to Xi·x,x, produces yellow antennae, X,, produces white antennae, and XX, produces light yellow antennae. The phenotypic frequencies in a population are as follows: 0.16 WHITE 0.16 LIGHT YELLOW.04 ELLOW .64 R Assume thot this population is in Hardy-Weinberg equlibrium what is the frequency of the X allele this population? a) 0.04 by 0.20 c)0.40 d) 0.32 e) 0.64 11. Keep assuming that the population described in Question 810 is in Hardy-Weinberg equilibrium what is the frequency of the X allele in this population? a 0.4 ) 0.64 c) 0.64 d) Vo.64 e) There's not enough information to figure this out

Explanation / Answer

X1 dominant to X2

X2 is codominant to X3

Genotypes

Red : X1 X1, X1 X2, X1 X3

Yellow : X2 X2

White : X3 X3

Light Yellow : X2 X3

Hardy - Weinberg Equation for three alleles:

p + q + r = 1

p2 + q2 + r2 + 2pq + 2pr + 2qr = 1

p2 + 2pq + 2pr = 0.64

q2 = 0.04

r2 = 0.16

2qr = 0.16

Find allele frequency of X2 and X3 :

X2 = q2 = 0.04, q = 0.2

X3 = r2 = 0.16, r = 0.4

p + q + r = 1

p = 1 - 0.2 - 0.4

X1 = p = 0.4

Therefore, the frequency of X1 allele = 0.4

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