A biologist studying a rare plant species finds that 40% of 200 individual plants exhibit a drought-resistant gene. If she selects 50 plants at random for further study, how many are expected to carry the gene based on proportion? - Simpleprint
Biologist Discovers Drought-Resistance Gene in Rare Plant Species: Predicting Genetic Traits in a Sample
Biologist Discovers Drought-Resistance Gene in Rare Plant Species: Predicting Genetic Traits in a Sample
A recent study led by a dedicated biologist researching a rare plant species has revealed valuable insights into genetic adaptation. The researcher discovered that 40% of 200 sampled plants carry a specific drought-resistant gene, indicating a strong evolutionary adaptation to arid conditions. This remarkable genetic trait is now prompting deeper investigation into how these resilient plants survive in harsh environments.
But beyond genetic analysis, a critical question arises for scientists: how can this information guide further research? To answer that, consider the application of statistical probability—specifically, estimating gene prevalence in larger, randomly selected samples.
Understanding the Context
Based on the initial finding, 40% (or 0.4) of the 200 plants exhibit the drought-resistant gene. Using this proportion, a biologist planning a follow-up study might select 50 plants at random to analyze gene expression. Applying simple proportionate reasoning, the expected number of plants carrying the gene in this new sample can be calculated as:
Expected number = Sample size × Probability
Expected number = 50 × 0.4 = 20
This means that researchers can expect approximately 20 out of 50 randomly selected plants from this population to carry the drought-resistant gene.
This approach exemplifies how basic statistical principles empower scientists to make informed predictions from sample data, guiding resource allocation and focusing fieldwork efficiently. By combining field observations with probability modeling, biologists enhance their ability to understand and conserve rare plant species facing climate stress.
Key Insights
In summary, the presence of a key adaptive gene in 40% of the sample strongly suggests persistence of drought tolerance in the population. With a 50-plant random selection, biologists anticipating approximately 20 positive cases underscore the importance of data-driven sampling in ecological and genetic research.
Stay tuned for further updates as this research expands our understanding of plant resilience and adaptation strategies in a changing world.
