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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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