(a) The observed frequency of the allele a and A. (b) The observed genotype of Aa , AA , and aa. (c) The expected frequency of the alleles Aa , AA , and aa after one generation of the random mating. Introduction: The Hardy–Weinberg equation can be used to calculate genotypic and allele frequency in a population. These equations are based on the Hardy–Weinberg equilibrium. The equation can be mathematically represented as follows: p + q = 1 p 2 + 2 p q + q 2 = 1 Where, p denotes the dominant allele frequency, q is the recessive allele frequency, p 2 denotes the homozygous dominant individual’s frequency, q 2 denotes the homozygous recessive individual’s frequency, and 2 pq denotes the frequency of the heterozygous individuals. Given: Total number of individuals = 10. Number of individuals having genotype AA = 2. Number of individuals having genotype Aa = 4. Number of individuals having genotype aa = 4.

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Chapter 20.3, Problem 1R

Summary Introduction

To analyze:

(a) The observed frequency of the allele a and A.

(b) The observed genotype of Aa, AA, and aa.

(c) The expected frequency of the alleles Aa, AA, and aa after one generation of the random mating.

Introduction:

The Hardy–Weinberg equation can be used to calculate genotypic and allele frequency in a population. These equations are based on the Hardy–Weinberg equilibrium. The equation can be mathematically represented as follows:

p+q= 1

p2+2pq+q2=1

Where, p denotes the dominant allele frequency, q is the recessive allele frequency, p² denotes the homozygous dominant individual’s frequency, q² denotes the homozygous recessive individual’s frequency, and 2pq denotes the frequency of the heterozygous individuals.
Given:

Total number of individuals = 10.

Number of individuals having genotype AA = 2.

Number of individuals having genotype Aa = 4.

Number of individuals having genotype aa = 4.

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