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?
                   

2 years ago

Share

Answers : (1)

                                        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
3 months ago

Post Your Answer

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
if [sqrt(a) + sqrt(b)]/ [sqrt(a) – sqrt(b)] + [sqrt(a) – sqrt(b)]/ [sqrt(a) + sqrt(b)] = a – b, then prove that a – b = sqrt (2)
 
 
Hello student, Please find the answer to your question below Given Taking lcm we get On expanding we get (a-b) 2 =2(a+b) so you get (a-b)= I think there is some error in the question
  img
SHAIK AASIF AHAMED 2 months ago
if the equation 2x^2 +4xy + 7y^2-12x-2y+t=0 where “t’ is a parameter has exactly one real solution of the form (x,y).Then the sum of (x+y) =?
 
 
Hello student, Please find the answer to your question below Given2x^2 +4xy + 7y^2-12x-2y+t=0 2x 2 +4x(y-3)+7y 2 -2y+t=0 discriminant should be=0 for one solution so 16(y-3) 2 -8(7y 2...
  img
SHAIK AASIF AHAMED 3 months ago
Dear sir/ma'am Please answer my questions.
 
 
okay that is
 
surya 4 months ago
 
okay
 
surya 4 months ago
sqrt[3]cosec20 + sec20=?
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 4 months ago
 
Really nice methods :)
 
Leo Pixie 4 months ago
is pair of straight lines and family of lines in the syllabus of jee advanced 2014
 
 
Yes you should get yourself prepared with both the topics.Vinti SinghaiB.E in Elec & comm(Honors), Gold Medalist in Mathematics
 
Vinti Singhai one year ago
 
yes...!
 
JAYAVARDHAN BAIRABATHINA one year ago
View all Questions »