SHAIK AASIF AHAMED
Last Activity: 11 Years ago
Hello student,
Please find the answer to your question below
P(C)=P(C∣G)P(G)+P(C∣Gc)P(Gc)=(1)(0.6)+(0.2)(0.4)=0.68
This 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
=0.882
So the probability that the inspector in-charge is convinced that the suspect is guilty given he/she has brown hair is 0.882