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A doctor is called to see a sick child. ...

A doctor is called to see a sick child. The doctor knows (prior to the visit) that 90% of the sick children in that neighbourhood are sick with the flu, 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. The probability having a rash for a child sick with the measles is 0.95. however, occasionally children with the flu also develop a rash, with conditional probability 0.08. upon examination the child, the doctor finds a rash. The what is the probability that the child has the measles?

A

`(89)/(167)`

B

`(91)/(167)`

C

`(93)/(167)`

D

`(95)/(167)`

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