Death Penalty and False Positives

  • #1

Main Question or Discussion Point

Discussing wheather to convict someone charged with murder and give them the death penalty, consider the variables "reality (defendant guilty, defendant innocent) and "decision" (convict, acquit)

Jurors are asked to convict a defendant if they feel the defendant is "guilty beyond reasonable doubt" Suppose this means given the defendant is executed, the probability that s/he is truly guilty is 0.99. For the 873 people put to death from 1977 until September 2003, find the probability that:

i) they were all truly guilty

ii) at least on of them was actually innocent
 

Answers and Replies

  • #2
Okay, is P(all those executed were actually guilty)= 0.99^873?
P(at least one innocent)= 0.01^873

Anyone who can let me know if I'm on the right track is appreciated =)
 
  • #3
0.01^873 is the probability that they're all innocent

P(at least one of them is innocent) = 1 - P(all 873 are guilty)
 

Related Threads for: Death Penalty and False Positives

  • Last Post
Replies
7
Views
745
  • Last Post
Replies
11
Views
3K
  • Last Post
Replies
21
Views
9K
  • Last Post
3
Replies
73
Views
3K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
2K
Top