In a random mating population of 100000 individuals, the frequency of the recessive allele is 0.4 , How many individuals will have pure dominant phenotype?
To determine the number of individuals with a pure dominant phenotype in a random mating population, we need to use the Hardy-Weinberg equation.
The Hardy-Weinberg equation is given by:
p^2 + 2pq + q^2 = 1,
where p is the frequency of the dominant allele, q is the frequency of the recessive allele, and p^2, 2pq, and q^2 represent the frequencies of the three possible genotypes (homozygous dominant, heterozygous, and homozygous recessive).
In this case, we are given that the frequency of the recessive allele (q) is 0.4. Therefore, the frequency of the dominant allele (p) can be calculated as follows:
p = 1 - q
p = 1 - 0.4
p = 0.6
Now we can calculate the frequencies of the genotypes:
Homozygous dominant (p^2) = (0.6)^2 = 0.36
Heterozygous (2pq) = 2 * 0.6 * 0.4 = 0.48
Homozygous recessive (q^2) = (0.4)^2 = 0.16
To find the number of individuals with a pure dominant phenotype, we need to calculate the total number of individuals (N) multiplied by the frequency of the homozygous dominant genotype (p^2):
Number of individuals with pure dominant phenotype = N * p^2
Given that there are 100,000 individuals in the population, we can calculate this as follows:
Number of individuals with pure dominant phenotype = 100,000 * 0.36
Number of individuals with pure dominant phenotype ≈ 36,000
Therefore, approximately 36,000 individuals will have a pure dominant phenotype in this population.
To determine the number of individuals with a pure dominant phenotype, we need to know the allele frequencies and the way the traits are inherited in the population. However, it's important to note that the information provided in the question is insufficient to calculate the number accurately.
To calculate the number of individuals with a pure dominant phenotype, we would need to know if the inheritance follows a specific pattern, such as Mendelian inheritance.
Mendelian inheritance is the simplest form of inheritance and involves the inheritance of traits from two alleles, one dominant and one recessive. In this case, a pure dominant phenotype would require both alleles to be dominant.
However, without additional information on the specific pattern of inheritance or the frequencies of the dominant allele, we cannot accurately determine the number of individuals with a pure dominant phenotype.
If you have any additional information or assumptions regarding the inheritance pattern or allele frequencies, please provide them so that a more precise calculation can be made.