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The quantity of eletrophoretic genotypes for the Mdh locus were foundin a human

ID: 260677 • Letter: T

Question

The quantity of eletrophoretic genotypes for the Mdh locus were foundin a human population. The numbers 1 and 2 in the table below represent two different alleles

Genotypes (numbers)

locus 1/1 1/2 2/2

width 620 10 370

.a.Calculate the genotypic and allelic frequencies.

b.Assuming random mating, calculate the expected number of heterozygotes at the Mdh locus.

c.Is this population in HWE at the Mdhlocus? How could you tell?

d.What is one probable reason why the population would be out of HWbased on the result?

Explanation / Answer

Q) The number 1 and 2 represents two different alleles, 1 seems dominant and allele 2 is recessive.

The genotypes and the observed numbers are :-

Total number of observed individuals = 1/1 + 1/2 + 2/2 = 620+10+370 = 1000.

Phenotype frequency --

As each parent has two alleles, so the total number of alleles is twice the population.

here total population is 1000 , so as two alleles each parent carries so the total no. of alleles is 1000 * 2= 2000.

and heterozygous individuals carry one of each allele .

considering these two factors .

No. of 1 alleles = p = f(1) = [(620*2)+10] / 2000 = 1250 / 2000 = 0.625

No. of 2 alleles = q = f(2) = [ ( 370* 2) +10 ] / 2000 = 750 / 2000 = 0.375

Q a )

Genotype frequency will be

f (1/1) = p2 = f(1) * f (1) = (0.625 )* (0.625) = 0.390

f ( 1 / 2 ) = 2pq = 2 * f (1) * f (2) =( 0.625) *( 0 .375) = 0.468

f (2 / 2) = q 2 = ( 0.375 ) * ( 0.375) = 0.140

Calculation of allelic frequency is

p = allelic frequency of f (1) = 1250 /2000 = 0.625

Q = allelic frequency of f(2)= 750 /2000 = 0.375

So P +Q = 0.625 + 0.375 = 1

Q b ) Assuming random mating, calculate the expected number of heterozygotes at the Mdh locus.

The expected numbers of heterozygotes would be

Homozygous dominant is f (1/1) = p2 * total no. of population

0.390 * 1000 = 390.62 = 391

Heterozygous expected number will be f (1/2)= 2 pq * 1000 = 0.468* 1000 = 468.75= 469

Hemozygous recessive number will be f(2/2) = q2 * 1000 = 0.140*1000= 140

Qc) Is this population in HWE at the Mdhlocus? How could you tell?

The population is not in HWequilibrium at Mdh locus because the observed value and expected values do not match .

Q d)  .What is one probable reason why the population would be out of HWbased on the result

The probable reason behind the population not being in HW equilibrium is may be due to the population size, or the manner by which the population suddenly chnaged.

Because a population remains in HW equilibrium if there is no migration, no mutation, no genetic drift , infinitely large population. a deviation from this leads to imbalnce in HW equilibrium.

Genotypes Total number observed 1/1 620 1/2 10 2/2 370
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