Human blood type is determined by three alleles IA, IB, and IO. The alleles IA and IB are co-dominant to each other, and both are dominant to IO. Within a large, randomly mating population (540,000 individuals), the frequencies for the blood type alleles are 0.3 for the IA allele, 0.6 for the IO allele, and 0.1 for the IB allele. Calculate the expected numbers of people in the population having the blood type of A.

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Answer:

1a. Number of people in the population with blood group A = 243000

1b. Number of people in the population with blood group B = 70,200

1c. Number of people in the population with blood group AB = 32,400

1d. Number of people in the population with blood group O = 194000

2. The percentage of type B people that are heterozygotes (IBIO) = 12%

Note: The question is incomplete. The complete question is given below:

Human blood type is determined by three alleles IA, IB, and IO. The alleles IA and IB are co-dominant to each other, and both ar e dominant to IO. Within a large, randomly mating population (540,000 individuals), the frequencies for the blood type alleles are 0.3 for the IA allele, 0.6 for IO, and 0.1 for the IB allele. a. Calculate the expected numbers of people in the population having each blood type A, B, AB, and O. b. 2. Determine the percentage of type B people that are heterozygotes (IBIO).

Explanation:

According to Hardy-Weinberg equilibrium equation, p²+q²+2pq=1

Where heterozygote allele 2pq,

p² = dominant h0m0zygous frequency

2pq = heterozygous frequency

q² = recessive h0m0zygous frequency

1a. Blood group A has two genotypes- IAIA and IAIO

The genotype frequency will be:

IAIA= 0.3 X 0.3 = 0.09

IAIO= 2 × 0.3 x 0.6 = 0.36

Total genotype frequency = 0.09 + 0.36 = 0.45

Number of people in the population with blood group A = 0.45 × 540,000 = 243000

b. Blood group has two genotypes- IAIB and IBIO

The genotype frequency will be:

IBIB= 0.1 x 0.1 = 0.01

IBIO = 2 × 0.1 x 0.6 = 0.12

Total genotype frequncy = 0.13

Number of people in the population with blood group B = 0.13 × 540,000 = 70,200

c. Blood group AB genotype frequency is 2 × IAIB x IAIB

Blood group AB = 2 × 0.3 x 0.1 = 0.06

Number of people in the population with blood group AB = 0.06 × 540,000 = 32,400

d. Blood group O has one genotype IOIO

IOIO = 0.6 × 0.6 = 0.36

Number of people in the population with blood group O = 0.36 × 540000 = 194000

2. Genotype frequency of heterozygote IBIO blood group = 2 × IB × IO

2 × 0.1 x 0.6 = 0.12 = 12%

The percentage of type B people that are heterozygotes (IBIO) = 12%

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