InterviewSolution
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InterviewSolution
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A doctor is called to see a sick child. The doctor knows (prior to thevisit) that 90% of the sick children in that neighbourhood are sick with theflu, denoted by `F ,`while 10% are sick with the measles, denoted by `Mdot`A well-known symptom of measles is a rash, denoted by R. Theprobability having a rash for a child sick with the measles is 0.95. however,occasionally children with the flu also develop a rash, with conditionalprobability 0.08. upon examination the child, the doctor finds a rash. Thewhat is the probability that the child has the measles?`91//165`b. `90//163`c. `82//161`d. `95//167`A. `91//165`B. `90//163`C. `82//161`D. `95//167` |
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Answer» Correct Answer - D A: Doctor finds a rash `B_(1):` Child has measles S: Sick children `P(S//F)=0.9` `B_(2):"Child has flu"impliesP(B_(2))=9//10` `{:(P(S//M)=0.10,),(P(A//B_(1))=0.95,),(P(R//M)=0.95,),(P(A//B_(2))=0.08,),(P(R//F)=0.08,):}` `P(B_(1)//A)=(0.1xx0.95)/(0.1xx0.95+0.9xx0.08)` `=(0.095)/(0.095+0.072)` `=(0.095)/(0.67)=(95)/(167)` |
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