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Assume That the Rat Population in a Certain Urban Area P(t)=201+9e0.31tP ( t ) = \frac { 20 } { 1 + 9 e ^ { - 0.31 t } }

question 47

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Assume that the rat population in a certain urban area behaves according to the logistic growth function P(t)=201+9e0.31tP ( t ) = \frac { 20 } { 1 + 9 e ^ { - 0.31 t } } where PP is the number of rats in the hundreds, and tt is measured in months.(a) Find the initial rat population.(b) Find the rat population after 11 month.(c) After how many months will the rat population triple from its initial size?

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Definitions:

Random Variable

A variable representing the numerical results possible from a stochastic process.

Microcomputer

A small, relatively inexpensive computer typically used for personal or small business tasks.

Breakdown

A detailed analysis or classification of something into its component parts.

Probability Distribution

A mathematical function that calculates the likelihood of various potential outcomes of an experiment.

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