$\text { Find the solution of the initial-value problem and use it to find the population when } t = 10 \text {. }$

question 17

Short Answer

$\text { Find the solution of the initial-value problem and use it to find the population when } t = 10 \text {. }$ $\frac { d P } { d t } = 0.4 P \left( 1 - \frac { P } { 2000 } \right) , P ( 0 ) = 100$

---

Definitions:

Test Statistic

A numerical value derived from sample data that measures the degree of conformity with a null hypothesis in statistical hypothesis testing.

Type I Error

The error of rejecting the null hypothesis when it is actually true, commonly referred to as a "false positive".

Criminal Trial

A legal proceeding in which a person accused of a crime is tried in a court of law, where evidence is presented to determine guilt or innocence.

Null Hypothesis

A hypothesis that assumes no significant difference or effect, serving as the default assumption in hypothesis testing.