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 an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 3% 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 9% 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 1 pack/day or less more than 1 pack/day (b) in 2 months nonsmokers 1 pack/day or less more than 1 pack/day (c) in 1 year nonsmokers. 1 pack/day or less more than 1 pack/day people people people people people people people people people

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 3% 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 9% 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
1 pack/day or less
more than 1 pack/day
(b) in 2 months
nonsmokers
1 pack/day or less
more than 1 pack/day
(c) in 1 year
nonsmokers
1 pack/day or less
more than 1 pack/day
people
people
people
people
people
people
people
people
people
Transcribed Image Text: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 an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 3% 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 9% 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 1 pack/day or less more than 1 pack/day (b) in 2 months nonsmokers 1 pack/day or less more than 1 pack/day (c) in 1 year nonsmokers 1 pack/day or less more than 1 pack/day people people people people people people people people people
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