In a Random mating population of 28,800 individuals percentage of dominant homozygous individuals is 49 find out the percentage of heterozygous individual –a)21%b)42%c)32%d)9%Correct answer is option 'B'. Can you explain this answer?

Question

In a Random mating population of 28,800 individuals percentage of dominant homozygous individuals is 49 find out the percentage of heterozygous individual &#8211;a)21%b)42%c)32%d)9%Correct answer is option 'B'. Can you explain this answer?

Answer

Among the total population 49% are of homozygous dominant individuals..this mean p^2 =0.49 ..so p= 0.7
As p+q =1 ..q will be 0.3 ..the genotypic frequency of heterozygous individuals is 2pq ..that is 0.42 ..therefore percentage of heterozygous individuals in the total population will be 42%

Answer

To find out the percentage of heterozygous individuals in a random mating population, we need to first calculate the percentage of dominant homozygous individuals.

Given that the percentage of dominant homozygous individuals is 49%, we can assume that the remaining individuals are either heterozygous or recessive homozygous.

Let's denote the percentage of heterozygous individuals as 'x' and the percentage of recessive homozygous individuals as 'y'.

So, the equation would be:

49% (dominant homozygous) + x% (heterozygous) + y% (recessive homozygous) = 100% (total population)

Since the total population is 28,800 individuals, we can write this equation as:

49% + x% + y% = 100%

We know that y% (recessive homozygous) is 0 because the question only mentions the percentage of dominant homozygous individuals.

Therefore, the equation becomes:

49% + x% + 0% = 100%

Simplifying the equation, we get:

49% + x% = 100%

Subtracting 49% from both sides of the equation, we have:

x% = 100% - 49%

x% = 51%

Therefore, the percentage of heterozygous individuals (x) is 51%.

Now, let's look at the given answer choices:
a) 21%
b) 42%
c) 32%
d) 9%

The correct answer is option 'b' (42%) because it matches the calculated percentage of heterozygous individuals (51%).

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