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
5 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
i i
 
 
Hello student, Please find the answer to your question below Use identity a = e^(lna). i^i = e^[ln(i^i)] = e^[i*lni] Complex logaritm lnz = ln|z| + i*argz Then ln(i) = ln |i| + i*arg(i) =...
  img
SHAIK AASIF AHAMED 4 months ago
what is the standard equation of the circle, parabola, ellipse and hyperbola in terms of complex numbers?
 
 
center of the circle (h,k) and the radius r then the standard equation circle (x-h)^2+(y-k)^2=r^2
 
lavanya 2 months ago
if a,b,c,d,e,f,g,h,i are 9 different natural numbers then how many 3x3 and 2x2 matrices are formed with these numbers?
 
 
A 3x3 matrix will have 9 vacant places for the numbers to be put in from the available options i.e. 9 given numbers. So Number of arrangements of 9 numbers at 9 different places =...
  img
Ravi 2 months ago
if the extremities of a diagonal of a square are (1,-2,3) and (2,-3,5) then the lenght of its side is ?
 
 
Length of the diagonal of square is √ ((1-2) 2 + (-2+3) 2 +(3-5) 2 ) = √6 We aslo know that length of square is √2 times the side. This implies √2a= √6 ( where...
  img
Harsh Patodia 4 months ago
TANGENTS AND NORMALS find the points on the curve y=3x^2 – 9x + 8 at which the tangents are equally inclined with the axes
 
 
Ans: Hello Student, Please find answer to your question below Put in curve: Similarly you will get for x = 5/3.
  img
Jitender Singh 4 months ago
​Q. IF a,b,c ARE IN A.P THEN THE IMAGE OF THE POINT OF INTERSECTION OF THE FAMILY OF LINES ax + by + c=0 IN THE LINE y=0 LIES ON THE LINE- x + 2y – 5 = 0 2x = y =0 3x + 4y + 5 =0 3x + 4y –...
 
 
Since a,b,c are in AP let a = A - d, b = A, c = A + d ax+by+c = A( x+ y+ 1) – d(x – 1) = 0 The point of intersection of the given family of lines is the point of intersection of the lines...
 
Himaja one month ago
 
Since a,b,c are in AP let a = A - d, b = A, c = A + d ax+by+c = A( x+ y+ 1) – d(x – 1) = 0 The point of intersection of the given family of lines is the point of intersection of the lines...
 
Himaja one month ago
 
Since a,b,c are in AP let a = A - d, b = A, c = A + d ax+by+c = A( x+ y+ 1) – d(x – 1) = 0 The point of intersection of the given family of lines is the point of intersection of the lines...
 
Himaja one month ago
View all Questions »