illed. Assume also that the pr. the child of a professional laborer becomes a professional, skilled, or unskilled laborer are 0.8, 0.1, and 0.1, respe Similarly, assume that the probabilities for the child of a skilled laborer are 0.2, 0.6, and 0.2 and for the child of ar d, or ur laborer are 0.25, 0.25, and 0.5. (To keep things simple, we will assume that the primary bread winner solely detern probabilities or their children.) 1. Construct a stochastic probability matrix that models this system. 2. What does your model give as the probability that a randomly chosen grandchild of an unskilled laborer will be professional laborer? 3. What does vo

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 15E: Smokers and Non smokers In a population of 10,000, there are 5000 non-smokers, 2500 smokers of one...
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Assume that a person's profession can be classified as professional, skilled, or unskilled. Assume also that the probabilities that
the child of a professional laborer becomes a professional, skilled, or unskilled laborer are 0.8, 0.1, and 0.1, respectively.
Similarly, assume that the probabilities for the child of a skilled laborer are 0.2, 0.6, and 0.2 and for the child of an unskilled
laborer are 0.25, 0.25, and 0.5. (To keep things simple, we will assume that the primary bread winner solely determines the
probabilities or their children.)
1. Construct a stochastic probability matrix that models this system.
2. What does your model give as the probability that a randomly chosen grandchild of an unskilled laborer will become a
professional laborer?
3. What does your model predict about the long term distribution of labor in this population?
(Sub
Transcribed Image Text:Assume that a person's profession can be classified as professional, skilled, or unskilled. Assume also that the probabilities that the child of a professional laborer becomes a professional, skilled, or unskilled laborer are 0.8, 0.1, and 0.1, respectively. Similarly, assume that the probabilities for the child of a skilled laborer are 0.2, 0.6, and 0.2 and for the child of an unskilled laborer are 0.25, 0.25, and 0.5. (To keep things simple, we will assume that the primary bread winner solely determines the probabilities or their children.) 1. Construct a stochastic probability matrix that models this system. 2. What does your model give as the probability that a randomly chosen grandchild of an unskilled laborer will become a professional laborer? 3. What does your model predict about the long term distribution of labor in this population? (Sub
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