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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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