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 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 6% 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 4800 2650 2550 4642 2769 2599 ✔people ✓ people ✔people ✓ people ✔people ✔people people people
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 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 6% 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 4800 2650 2550 4642 2769 2599 ✔people ✓ people ✔people ✓ people ✔people ✔people people people
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The given Information can be depicted as follows:
During any month | ||||
Begin smoking 1 pack or less per day | Begin smoking more than 1 pack per day | Non-smoker | ||
Non-smoker | 8% = 0.08 | 4% = 0.04 | 1-0.08-0.04=0.88 | |
At the beginning of a month | Smoker who smokes 1 pack or less per day | 1-0.10-0.10=0.8 | 10% = 0.10 | 10% = 0.10 |
Smoker who smokes more than 1 pack per day | 10% = 0.10 | 1-0.10-0.06=0.84 | 6% = 0.06 |
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