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Math Help - Stochastic Matrix Initial Setup

  1. #1
    Junior Member
    Joined
    Aug 2009
    Posts
    71

    Stochastic Matrix Initial Setup

    I want to make sure I am setting up the following problem correctly...

    Problem
    A medical researcher is studying the spread of a virus in a population of 1000 mice. During any week there is an 80% probability that an infected mouse will overcome the virus, and during the same week there is a 10% probability that a noninfected mouse will become infected. One hundred mice are currently infected with the virus.

    The matrix I have is:
    \left(\begin{array}{cc}0.20&0.10\\0.80&0.90\end{ar  ray}\right)

    and then for the initial numbers matrix:
     X = \left(\begin{array}{c}100\\900\end{array}\right)
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  2. #2
    Senior Member
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    Atlanta, GA
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    408
    Yes, you are correct.
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