Question

A village has about five thousand population living in 1000 households. Fifty people in the village are affected by Lymphatic filariasis and their legs are all visibly affected. The affected individuals belong to 50 different households. Assume that other than these 50 individuals, no other individual is affected by the LF while answering the following questions:

 

 

Question 1: What is the probability that a randomly picked household has a case of LF?

 

Question 2: What is the probability that a randomly picked individual has LF?

 

Question 3: What do you mean by the word "random"?

 

 

The assumption that other than these 50 individuals, no other individual is affected is a wrong assumption. This is because, there may be many people who do not show any symptoms of LF but could be affected as it takes quite a long time to see any visible harm done to the body. It is seen that that for every one visibly affected person there would be at least two other people who are asymptomatic but are affected by LF.  Based on this question please answer the following questions:

 

Question 4: What is the probability that a randomly picked individual has LF?

 

Question 5: What is the probability that a randomly  picked individual has an asymptomatic LF?

 

Question 6: What is the probability that an individual randomly chosen has LF and is asymptomatic

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Answer 1

Answer:

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Answer 2

A village has about five thousand population living in 1000 households. Fifty people in the village are affected by Lymphatic filariasis and their legs are all visibly affected. The affected individuals belong to 50 different households. Assume that other than these 50 individuals, no other individual is affected by the LF while answering the following questions:

Question 1: What is the probability that a randomly picked household has a case of LF?

Question 2: What is the probability that a randomly picked individual has LF?

Question 3: What do you mean by the word "random"?

The assumption that other than these 50 individuals, no other individual is affected is a wrong assumption. This is because, there may be many people who do not show any symptoms of LF but could be affected as it takes quite a long time to see any visible harm done to the body. It is seen that that for every one visibly affected person there would be at least two other people who are asymptomatic but are affected by LF.  Based on this question please answer the following questions:

Question 4: What is the probability that a randomly picked individual has LF?

Question 5: What is the probability that a randomly  picked individual has an asymptomatic LF?

Question 6: What is the probability that an individual randomly chosen has LF and is asymptomatic