A case study \"Insulation\" estimates that 5.6% of a certainpopulation has asthm

Question

A case study "Insulation" estimates that 5.6% of a certainpopulation has asthma, and that an asthmatic has probability 0.027of suffering an asthma attack on a given day. A person ischosen at random from this population. What is the probability that this person has an asthma attackon that day? Note: This is exactly how the textbook words thisquestion A case study "Insulation" estimates that 5.6% of a certainpopulation has asthma, and that an asthmatic has probability 0.027of suffering an asthma attack on a given day. A person ischosen at random from this population. What is the probability that this person has an asthma attackon that day? Note: This is exactly how the textbook words thisquestion

Explanation / Answer

For a person to have an attack he/she should have asthma andthen he/she should suffer an attack(of course the underlyingassumption is that a person who doesn't have asthma can't suffer anattack)

P(the chosen person has asthma)*P(the person has an attack onthat day | the person has asthma)
= 5.6%*0.027 = 0.001512
Hope this helps you. Feel free to ask for anyclarifications.

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