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`        At a certain stage of a criminal investigation, the inspector in-charge is 60% convince of the guilt of a certain suspect. Suppose now a piece of evidence that shows the criminal has brown hair is uncovered. If the inspector in-charge is convinced that the suspect is not guilty then there is 20% chance that he/she has brown hair. What is the probability that the inspector in-charge is convinced that the suspect is guilty given he/she has brown hair?`
5 years ago

SHAIK AASIF AHAMED
74 Points
```										Hello student,Please find the answer to your question belowP(C)=P(C∣G)P(G)+P(C∣Gc)P(Gc)=(1)(0.6)+(0.2)(0.4)=0.68This is then used to update the inspector's belief in the suspect's guilt posterior to discovering that the suspect does have that characteristic.P(G∣C)=(P(G)P(C∣G))/P(C)    =1(0.6)/0.68    =0.882So the probability that the inspector in-charge is convinced that the suspect is guilty given he/she has brown hair is 0.882
```
3 years ago
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