Choose the One Alternative That Best Completes the Statement or Answers

question 261

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-The logistic growth function $f ( t ) = \frac { 800 } { 1 + 9.0 \mathrm { e } ^ { - 0.16 t } }$ describes the population of a species of butterflies $t$ months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 15 months?

• A) 801 butterflies
• B) 1,200 butterflies
• C) 440 butterflies
• D) 12,000 butterflies

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Definitions:

Poisson Distribution

A mathematical representation that quantifies the odds of various event frequencies occurring within a predetermined span of time or space.

Average Time

The mean time taken for a process or event, calculated by summing the total times recorded and dividing by the number of events.

Arrival Rate

In operations, it refers to the frequency at which tasks, customers, or entities arrive at a system or facility, typically measured in units per time period.