In: Anatomy and Physiology
Brachydactyly is a condition caused by an allele dominant to wild-type in humans, in which the fingers and toes are shortened. In a population of 10,000 people, 1,600 are BB, 4,800 are Bb, and 3,600 are bb.
A)What percentage of people in this population have short fingers and toes?
B)What is the frequency of the b allele?
C)Is this population in Hardy-Weinberg equilibrium?
(a) As Dominant trait -Shortend toes and fingers
Recessive trait-Long toes and fingers
Dominant allele -B
Reccesssive allele-b
Total no. of individual with short toes fingers :
= No. of individual having genotype BB + No. of individual having genotype Bb
=1600+ 4800
=6400
Percentage of individual having short toes and Fingers :
= Total no. of individual with short toes fingers /Total Population
=6400/10000
=64%
(b) No. of individual with long toes and fingers (bb)=3600
Genotypic frequency of bb =No. of individual with long toes and
fingers /Total Population
=3600/10000 = 0.36
Allelic frequency of b = √0.36 =0.6
(c) No. of individual with short toes and fingers(BB)=1600
Genotypic frequency of BB = 1600/10000=0.16
Allelic frequency of B = √0.16 =0.4
According to Hardy weinberg principle ;Allelic frequency remain constant from generation to generation :
Hardy weingberg eqn for allelic frequency :
p+q =1
B+b =0.6 +0.4 = 1
Thus it follow Hardy weinberg eqn .,and in the hardy weinberg equilibrium