A medical researcher is studying the spread of a virus in a population of 1000 laboratory 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. Three hundred mice are currently infected with the virus. Please answer the following. 1. What is the stochastic matrix that models this process? 2. Compute how many mice will be infected next week. 3. Compute how many mice will be infected in 3 week
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A medical researcher is studying the spread of a virus
in a population of 1000 laboratory 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. Three hundred mice are currently infected with the virus. Please
answer the following.
1. What is the stochastic matrix that models this process?
2. Compute how many mice will be infected next week.
3. Compute how many mice will be infected in 3 weeks.
4. Compute the steady-state matrix for this process.
5. In the steady-state, how many mice are healthy and how many are
infected?
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