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 7% 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 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 answer to the nearest whole number.) (a) in 1 month nonsmokers people people 1 pack/day or less 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

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 7% 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 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
people
people
1 pack/day or less
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
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 7% 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 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 people people 1 pack/day or less 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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