There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) . Every year, 25% of grassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of trees are converted to shrubs, and 1% of trees are converted to grass; the other transition probabilities are 0. Calculate the probability ofma plot of land have the following succession of vegetation from year to year: GSGG.

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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5D There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) . Every year,
25% of grassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of
trees are converted to shrubs, and 1% of trees are converted to grass; the other transition
probabilities are 0. Calculate the probability ofwa plot of land have the following succession of
vegetation from year to year: GSGG.
5E The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and
open (O) with transition probabilities (per one microsecond): 0.04 (from
to C), 0.07 (from C to R),
0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Calculate the
probability of the following string of states: OCCR.
Transcribed Image Text:5D There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) . Every year, 25% of grassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of trees are converted to shrubs, and 1% of trees are converted to grass; the other transition probabilities are 0. Calculate the probability ofwa plot of land have the following succession of vegetation from year to year: GSGG. 5E The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and open (O) with transition probabilities (per one microsecond): 0.04 (from to C), 0.07 (from C to R), 0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Calculate the probability of the following string of states: OCCR.
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