Define the cumulative probability Pc(x): 1 dy. Pc(x) = 27 %3D

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please explain more about ROC as I show in the picture

ROC
1.• Define the cumulative probability Pc(x):
1
Pc(x) =
dy.
20 • Probability of true detection of a present object is
1
Pp(ko, kt)
(k-ko)²
dk = Pc(ko – ki)
e
|
2T
kt
3.
* Probability of false detection of an absent object is
PF(kt)
e- dk = 1 – Pc(kt) = Pc(-kt)
=
%3D
• ROC: the study of the relationship between Pp and PF
Transcribed Image Text:ROC 1.• Define the cumulative probability Pc(x): 1 Pc(x) = dy. 20 • Probability of true detection of a present object is 1 Pp(ko, kt) (k-ko)² dk = Pc(ko – ki) e | 2T kt 3. * Probability of false detection of an absent object is PF(kt) e- dk = 1 – Pc(kt) = Pc(-kt) = %3D • ROC: the study of the relationship between Pp and PF
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