The question goes ,"In a random survey of 1000 people, it is found that 7% have lung problem.Of those who have lung problems,40% are heavy smokers,50% are moderate smokers and 10% are non-smokers.For those who do not have any lung problems,10% are heavy smokers,70% are moderate smokers and 20% are non-smokers.If a person is found as a heavy smoker,what is the probability of that person having a lung problem?" I don't know how exactly to tackle this problems,any help will be appreciated

grabrovi0u 2022-10-19 Answered
The question goes ,"In a random survey of 1000 people, it is found that 7% have lung problem.Of those who have lung problems,40% are heavy smokers,50% are moderate smokers and 10% are non-smokers.For those who do not have any lung problems,10% are heavy smokers,70% are moderate smokers and 20% are non-smokers.If a person is found as a heavy smoker,what is the probability of that person having a lung problem?"
I don't know how exactly to tackle this problems,any help will be appreciated
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Answers (1)

RamPatWeese2w
Answered 2022-10-20 Author has 15 answers
Hint: We want to compute Pr[lung prob∣heavy], which is given by:
Pr [ lung prob ] Pr [ heavy lung prob ] Pr [ lung prob ] Pr [ heavy lung prob ] + Pr [ no lung prob ] Pr [ heavy no lung prob ]
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