In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 5% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)   (a) in 1 month nonsmokers                  _____________ people 1 pack/day or less        ______________people more than 1 pack/day _______________people   b) in 2 months nonsmokers               _______________ people 1 pack/day or less        ______________people more than 1 pack/day _______________people   c) in 1 year nonsmokers               _______________ people 1 pack/day or less        ______________people more than 1 pack/day _______________people

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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In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 5% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)

 

(a) in 1 month

nonsmokers                  _____________ people

1 pack/day or less        ______________people

more than 1 pack/day _______________people

 

b) in 2 months

nonsmokers               _______________ people

1 pack/day or less        ______________people

more than 1 pack/day _______________people

 

c) in 1 year

nonsmokers               _______________ people

1 pack/day or less        ______________people

more than 1 pack/day _______________people

 

 

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