Biologists stocked a lake with 
fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 
The number of fish tripled in the first year.Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years.
Definitions:
Standard Error
A statistical measure that quantifies the variability or dispersion of a sampling distribution, often used to estimate the accuracy of a sample mean compared to the population mean.
Population
The entire group of individuals or items that share one or more characteristics, from which samples may be drawn for statistical analysis.
Sample Value
A single observation or measurement taken from a larger set of data, known as a sample.
Significant Difference
A statistical assessment that shows that the observed results in a study were unlikely to have occurred by chance.
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