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 2% 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 an 8% 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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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 2% 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 an 8% 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
5050
реople
1 pack/day or less
реople
2500
more than 1 pack/day
|x people
(b) in 2 months
nonsmokers
|x people
1 pack/day or less
people
2500
more than 1 pack/day
х реоple
(c) in 1 year
nonsmokers
х реоple
1 pack/day or less
|× people
more than 1 pack/day
X people
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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 a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 2% 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 an 8% 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 5050 реople 1 pack/day or less реople 2500 more than 1 pack/day |x people (b) in 2 months nonsmokers |x people 1 pack/day or less people 2500 more than 1 pack/day х реоple (c) in 1 year nonsmokers х реоple 1 pack/day or less |× people more than 1 pack/day X people Need Help? Read It
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