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,



•G: event that the suspect is guilty


•C: event that he possesses the characteristic of the criminal


•P(G|C) is ?


•P(G|C) = P(GC)/P(C)


= P(C|G)P(G) / [P(C|G)P(G) + P(C|Gc)P(Gc)]


= 1(.6)/[1(.6) + (.15)(.4)] ≈ .91



Thanks and Regards


Shaik Aasif


askIITians faculty

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
How do i solve equations like these find no. of ordeted pairs for 10y+10x=xy-1?
 
 
You will get infinite number of ordered pairs for this equation. 10y + 10 x = xy –1 y = – (1 + 10x)/(10 – x) & x = – (1 + 10y)/(10 – y) This is not defined for x = 10 & y = 10
 
Y RAJYALAKSHMI 3 days ago
If 0 (alpha) = (beta) (alpha) >1 (beta) >1 none of these , ( ) = modulus
 
 
Hello student, Please find my response to your question below: Iam not able to interpret your query. Your question is not clear and seems to be incomplete. Please check the question and...
  img
SHAIK AASIF AHAMED 2 months ago
Let a1, a2, a3, ….. be an A.P. Prove that
 
 
Hello student, Please find the answer to your question below Iam explaining every step again here Let d be the common difference in AP So d=a2-a1=a3-a2=a4-a3=........=a2m-a2m-1 Now a 1 2 -a...
  img
SHAIK AASIF AHAMED 2 months ago
 
Hello student, Please find the answer to your question below Let d be the common difference in AP So d=a2-a1=a3-a2=a4-a3=........=a2m-a2m-1 Now a 1 2 -a 2 2 +..............+a 2m-1 2 -a 2m 2...
  img
SHAIK AASIF AHAMED 2 months ago
 
I didn’t understood this step ) 1 -a 2m )/(a 2 2m -a 2 1 )=dm(a 2 2m -a 2 1 -dm(a plzz...explain And also in this step )=-d(a1+a2+.........+a2m) 2m -a 2m-1 )(a 2m +a 2m-1...
 
Shibashis Mallik 2 months ago
what is value of cosec(A+B) in terms of cosec and sec
 
 
Hello student, Please find the answer to your question below Cosec(A+B) =1/ sin(A+B) =1/(sin A cos B + cosA sinB) =1/((cosecA)(secB)+(1/secA)(1/cosecB)) Now you can take LCM in the...
  img
Nishant Vora one month ago
Q . LET F 1 AND F 2 ARE THE FOCI OF THE ELLIPSE - 4x 2 + 9y 2 = 36 AND ‘P’ IS A POINT ON THE ELIPSE SUCH THAT - PF 1 = 2PF 2 , THEN THE AREA OF THE TRIANGLE PF 1 F 2 IS ?
 
 
Ans: Hello Student, Please find answer to your question below 4x 2 + 9y 2 = 36 By the definition of ellipse, PF 1 + PF 2 = 2a a = 3 PF 1 + PF 2 = 6 PF 1 = 2PF 2 PF 2 = 2 PF 1 = 4 F 1 F 2 can...
  img
Jitender Singh 3 days ago
 
sir please answer other problems too.......i have tried them multiple times.......atleast provide the hints
 
bharat makkar 3 days ago
 
thank you sir......
 
bharat makkar 3 days ago
Please suggest best book for preparing 3D for iit.
 
 
Dear tanayraj, Check the link below: http://www.askiitians.com/Important-books-iit-jee.aspx Cracking IIT just got more exciting,It s not just all about getting assistance from IITians,...
 
Aman Bansal 2 years ago
 
Arihant “Vectors and 3-D geometry”
 
Chetan Mandayam Nayakar 2 years ago
 
arihant parkashan,h.c.verma,r.d.sharma
 
Dilip chouhan one year ago
View all Questions »