Answer)
Given :
IAIA genotype individuals number - 7
IAIO genotype individuals number - 35
IBIB genotype individuals number - 1
IBIO genotype individuals number - 7
IOIO genotype individuals number - 49
IAIB genotype individuals number - 1
It has been asked to calculate B type blood group frequency. B type blood group will have genotype IBIB, IBIO.
step 1 ) Calculating the frequency of B allele in a population of 100 individuals :
Each individual carries two alleles for a gene. Therefore the population of 100 will have 200 alleles for a gene.
The number of B alleles among those 200 is :
IBIB genotype individuals number - 1----> 2 B alleles
IBIO genotype individuals number - 14----> 7 B alleles
IAIB genotype individuals number - 1 -----> 1B allele
In total 10 B alleles. frequency of B allele = 10/200 ------->0.05
step 2) calculating the frequency of O allele:
IAIO genotype individuals number - 35 -------> 35 O alleles
IBIO genotype individuals number - 7 ----------> 7 O alleles
IOIO genotype individuals number - 49 ----------> 96 O alleles
In total 140 O alleles. frequency of O allele = 140/200 ------->0.7
step 3) calculating the expected frequency of B type blood group IBIB, IBIO.
Let's denote the frequencies of alleles A, B, O as p, q, r respectively.
These alleles combine to give the following phenotypic blood types:
AA and AO (type A),
BB and BO (type B),
AB (type AB),
and OO (type O).
Expected frequency of B blood group = q2 + 2 x q x r
we know the frequency of B allele q = 0.05
we know the frequency of O allele r = 0.7
substituting the values,
Expected frequency of B blood group = (0.05)2 + 2x 0.05 x 0.7
Expected frequency = 0.0025 + 0.07 ------> 0.0725
Therefore Option C is the correct answer.
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