# Probability: Smokers going to the gym | Matematik • International Baccalaureate (IB) 2. IB
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## Rapport: Probability: Smokers going to the gym | Matematik

Det här är en matematisk rapport som undersöker vanor hos rökare och icke-rökare som går till gymmet regelbundet. Dessutom fastställs sannolikheten för vanan att gå till gymmet utifrån de två variablerna kön och rökvanor.

Studienets kommentar

Observera att den här rapporten är skriven på engelska, då kursen ingår i IB-programmet.

Innehåll

Rationale
Introduction
1
a) Find the probability assuming a smoker was chosen.
b) Find the probability assuming a non-smoker was chosen.
2
a) Assuming that a smoker was chosen, find the probability that it goes to the gym regularly.
b) Assuming that a smoker was chosen, find the probability that it does not go to the gym regularly.
c) Assuming that a non-smoker was chosen, find the probability that it does go to the gym regularly.
d) Assuming that a non-smoker was chosen, find the probability that it does not go to the gym regularly.
Conclusion & Discussion
References

Utdrag

Introduction:
After I collected my material I made up some questions concerning smokers/non smokers and how regularly they go to the gym. I will with the help of probability, Bayes thereom explain and the statistics I have collected to calculate this. I have also constructed tree diagrams since I see it more clearly in that way and I believe tree diagrams are very helpful when calculating probability. I have collected statistics from the gym I go to, Friskis & Svettis. I made sure to ask people inside the gym so I was certain that they were visitors of Friskis&Svettis. I asked 80 people that go gym at Friskis & Svettis here in Uppsala if they are older than 25 (given that they are 18) or younger, if they go to the gym regularly, how many times...

b) Assuming that a smoker was chosen, find the probability that it does not go to the gym regularly.
P(does not workout regurarly│smoker)=((smoker│does not work out regurarly)∙P (does not work out regurarly))/P(smoker) =((12/80)∙(36/80))/((13/80)+(16/80) )=((432/6400))/((29/80) ) =((54/800))/((290/800) )=((27/400))/((145/400) )=(0.0675/0.3625)x 100=... Köp tillgång för att läsa mer

## Probability: Smokers going to the gym | Matematik


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