A garden is inhabited by Argentinian ants that group in spatially separated colonies which are connected by migration. How does the fraction of occupied ant colonies (f) change with time if the probability of ant colony colonization (Pi) is 20%, the probability of ant colony extinction (Pe) is 10%, the fraction of currently occupied ant colonies (f) is 50%, and the fraction of unoccupied ant colonies is represented as (1-f).     a. 20% b. 0% c. 5% d. 15% e.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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32.

A garden is inhabited by Argentinian ants that group in spatially separated colonies which are connected by migration. How does the fraction of occupied ant colonies (f) change with time if the probability of ant colony colonization (Pi) is 20%, the probability of ant colony extinction (Pe) is 10%, the fraction of currently occupied ant colonies (f) is 50%, and the fraction of unoccupied ant colonies is represented as (1-f).

 

 

a.
20%
b.
0%
c.
5%
d.
15%
e.
-5%
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