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Suppose the locus D3S 1358 has two alleles, called 16 and 17. The proportion of the Caucasian population with allele 16 is \(0.232\) and with allele 17 is \(0.213\). What proportion of the Caucasian population has the combination \((16,17)\) at the locus D3S1358?

Short Answer

Expert verified
Approximately 9.90% of the population has the (16,17) genotype.

Step by step solution

01

Understanding Allelic Frequencies

We are given the allelic frequencies for alleles 16 and 17. The frequency of allele 16 is 0.232, and the frequency of allele 17 is 0.213 in the population.
02

Applying Hardy-Weinberg Principle

According to the Hardy-Weinberg principle, the proportion of the population that is heterozygous for two different alleles is given by the formula: \(2pq\), where \(p\) and \(q\) are the frequencies of the alleles. Here, \(p = 0.232\) and \(q = 0.213\).
03

Calculating the Heterozygous Proportion

To find the proportion of the population with the genotype (16,17), we use the formula: \(2pq\). Substituting the values, we get: \(2 \times 0.232 \times 0.213\).
04

Compute the Result

Perform the multiplication: \(2 \times 0.232 \times 0.213 = 0.098976\). So, the proportion of the population that has the (16,17) genotype is approximately 0.0990.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Allelic Frequencies
Allelic frequencies are crucial in understanding the genetic composition of a population. Essentially, they indicate how common an allele is in a population. For instance, in our example, the allele 16 appears in 23.2% of the entire Caucasian population, while allele 17 exists in 21.3%. This percentage, or frequency, is calculated by dividing the number of specific alleles by the total number of alleles present in that population. Knowing the allelic frequency helps us gauge the variety within a gene pool and predicts the genetic make-up of future generations. When frequencies are stable across generations without outside influences, this state is known as Hardy-Weinberg equilibrium. Understanding these frequencies sets the foundation for applying further genetic concepts like the Hardy-Weinberg Principle used in the next steps.
Heterozygous Proportion
The heterozygous proportion in a population refers to the fraction of individuals possessing two different alleles for a specific gene. It's a significant indicator of genetic diversity. According to the Hardy-Weinberg Principle, the formula to calculate the heterozygous proportion is given by: \[ 2pq \]where \(p\) is the frequency of one allele and \(q\) is the frequency of another. In our scenario, we have \(p = 0.232\) and \(q = 0.213\). Therefore, the proportion of individuals with the heterozygous genotype (16,17) is determined by substituting these values into the formula: \[ 2 \times 0.232 \times 0.213 \]Performing the calculation gives us approximately 0.0990 or 9.9% of the population. This insight helps us understand how many people carry genetic variability for that particular gene location.
Population Genetics
Population genetics is a subfield of genetics that focuses on the distribution and change in frequency of alleles within populations. It examines how genetic variation changes under the influence of five main evolutionary forces:
  • Natural Selection
  • Genetic Drift
  • Mutation
  • Gene Flow
  • Non-random Mating
In the context of our exercise, population genetics principles help us understand how common particular gene combinations are among a group of individuals. The Hardy-Weinberg Principle is a key tool in population genetics. It provides a baseline expectation for genetic makeup in a population not influenced by the forces mentioned above. By understanding allelic frequencies and heterozygous proportions, scientists can make predictions about how a population might evolve over time. It's fascinating to see how these genetic aspects interconnect to paint a broader picture of evolutionary biology and heredity.

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Most popular questions from this chapter

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