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Question

In a random mating population, $Y$ and $y$ are dominant and recessive alleles, respectively. If the frequency of $Y$ allele in both sperm and egg is $0.70$, then the frequency of $Y/y$ heterozygotes (rounded off to two decimal places) is ________

Genetics: Calculate Heterozygote Frequency

This problem involves calculating the frequency of heterozygotes ($Y/y$) in a population under Hardy-Weinberg equilibrium. The Hardy-Weinberg principle relates allele frequencies to genotype frequencies in a randomly mating population.

Applying Hardy-Weinberg Principle

In a randomly mating population, allele frequencies in the gametes directly reflect the allele frequencies in the population. Let $p$ represent the frequency of the dominant allele ($Y$) and $q$ represent the frequency of the recessive allele ($y$).

  • Given frequency of the $Y$ allele (in sperm and egg) is $p = 0.70$.
  • Since $p + q = 1$, the frequency of the $y$ allele is $q = 1 - p = 1 - 0.70 = 0.30$.
  • The frequency of the $Y/y$ heterozygotes in the population is given by the term $2pq$ in the Hardy-Weinberg equation.
  • Calculation: Frequency of $Y/y$ heterozygotes = $2 \times p \times q$
  • Frequency of $Y/y$ heterozygotes = $2 \times 0.70 \times 0.30$
  • Frequency of $Y/y$ heterozygotes = $2 \times 0.21$
  • Frequency of $Y/y$ heterozygotes = $0.42$

Rounding to two decimal places, the frequency of $Y/y$ heterozygotes is $0.42$.

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Important Questions from Population Genetics and Epigenetics

  1. Which of the following conditions will contribute to the stability of a gene pool in a natural population? 

    P. Large population 

    Q. No net mutation 

    R. Non-random mating 

    S. No selection

  2. An isolated population on an island has the following genotypic frequencies:
    GenotypeAAAaaa
    Frequency0.30.40.3
    Assuming that there are only two alleles (A and a) for the gene, the genotypic frequency of AA in the next generation will be ________
  3. In a genetic study, $80$ people were found to have alleles for polydactyly. Only $36$ of them were polydactylous. What is the extent of penetrance percentage? _______________

  4. If an unbiased coin is tossed 10 times, the probability that all outcomes are same will be _________ $x10^{-5}$
  5. Consider a population of $10,000$ individuals, of which $2500$ are homozygotes (PP) and $3000$ are heterozygotes (Pp) genotype. The frequency of allele p in the population is _________.
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