dx (Lake A) г(6 — а) — 7а dt dx (Lake B) x(6 – x) – 100x² dt Here x(t) denotes the fish population in hundreds at time t and the terms – 7.x and –100x? describe the intensity of fish removal due to fishing. For the purpose of studying the differ- ential equations we allow x(t) to take negative values. (i) Determine the equilibrium points of each model and classify each of them as stable or unstable. Sketch several graphs of solutions to the differential equation from Lake A. (ii) In which of the two lakes is fishing viable? Explain carefully.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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