Question

# The frequency of an autosomal recessive gene in a population is $$0.40.$$ The number of carriers in a population of 2000 individuals is

A
720
B
960
C
1040
D
360

Solution

## The correct option is B $$960$$Hardy-Weinberg principle says that allele frequency in a population are stable and is constant from generation to generation. The gene pool remains constant. Sum total of all the allelic frequencies is 1. In a diploid, p and q represent the frequency of allele A and allele a. The frequency of AA is p2. The equation is p2+2pq+q2=1. The frequency of the an autosomal recessive gene in a population is 0.04 (given q). p=1-0.4=0.6. (0.6)2 + 2pq + (0.4)2 = 1. 0.36+ 2pq + 0.16= 1. 0.52 + 2pq=1. 2pq=0.48. Since 2pq is the frequency of the heterozygous carrier. 2pq=0.48X2000 = 960.So, the correct option is '960'.Biology

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