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In a population of 400 individuals, frequency of recessive allele is 40%. Find out which of these represents the total number of individuals with dominant phenotype?
- a)144
- b)192
- c)256
- d)336
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In a population of 400 individuals, frequency of recessive allele is ...
Given:
- Total population = 400 individuals
- Frequency of recessive allele = 40%
To find:
- Total number of individuals with dominant phenotype
Solution:
1. Calculate the frequency of the dominant allele:
- The frequency of the recessive allele is given as 40%.
- Since there are only two alleles (dominant and recessive) in a population, the frequency of the dominant allele can be calculated as 100% - 40% = 60%.
2. Calculate the number of individuals with the dominant phenotype:
- The dominant phenotype can be expressed by individuals who are either homozygous dominant (DD) or heterozygous (Dd).
- Homozygous dominant individuals have two copies of the dominant allele, while heterozygous individuals have one copy of the dominant allele.
- The probability of an individual having the dominant phenotype can be calculated as the square of the frequency of the dominant allele (DD) plus twice the product of the frequencies of the dominant and recessive alleles (Dd).
- Let's denote the frequency of the dominant allele as p and the frequency of the recessive allele as q. Therefore, p = 0.60 and q = 0.40.
- The probability of an individual having the dominant phenotype (P) can be calculated as P = p^2 + 2pq.
- Substituting the values, P = (0.60)^2 + 2(0.60)(0.40) = 0.36 + 0.48 = 0.84.
3. Calculate the number of individuals with the dominant phenotype:
- To find the total number of individuals with the dominant phenotype, we multiply the probability (0.84) by the total population size (400).
- Number of individuals with the dominant phenotype = 0.84 * 400 = 336.
Therefore, the correct answer is option 'D' (336 individuals).
- Total population = 400 individuals
- Frequency of recessive allele = 40%
To find:
- Total number of individuals with dominant phenotype
Solution:
1. Calculate the frequency of the dominant allele:
- The frequency of the recessive allele is given as 40%.
- Since there are only two alleles (dominant and recessive) in a population, the frequency of the dominant allele can be calculated as 100% - 40% = 60%.
2. Calculate the number of individuals with the dominant phenotype:
- The dominant phenotype can be expressed by individuals who are either homozygous dominant (DD) or heterozygous (Dd).
- Homozygous dominant individuals have two copies of the dominant allele, while heterozygous individuals have one copy of the dominant allele.
- The probability of an individual having the dominant phenotype can be calculated as the square of the frequency of the dominant allele (DD) plus twice the product of the frequencies of the dominant and recessive alleles (Dd).
- Let's denote the frequency of the dominant allele as p and the frequency of the recessive allele as q. Therefore, p = 0.60 and q = 0.40.
- The probability of an individual having the dominant phenotype (P) can be calculated as P = p^2 + 2pq.
- Substituting the values, P = (0.60)^2 + 2(0.60)(0.40) = 0.36 + 0.48 = 0.84.
3. Calculate the number of individuals with the dominant phenotype:
- To find the total number of individuals with the dominant phenotype, we multiply the probability (0.84) by the total population size (400).
- Number of individuals with the dominant phenotype = 0.84 * 400 = 336.
Therefore, the correct answer is option 'D' (336 individuals).
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Community Answer
In a population of 400 individuals, frequency of recessive allele is ...
Population size = 400
q = 40% = 0.4 = Recessive allele frequency
So p = 1 - q = 0.6 = dominant allele frequency
Individuals with dominant phenotype
= p2 + 2 pq
= (0.6)2 + (2) x (0.6) x (0.4)
= 0.36 + 0.48 = 0.84
= 84% of total population
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In a population of 400 individuals, frequency of recessive allele is 40%. Find out which of these represents the total number of individuals with dominant phenotype?a)144b)192c)256d)336Correct answer is option 'D'. Can you explain this answer?
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