Consider a variable x which is physically meaningful in the range [-1; 1], for which there are two classes of events. A set of simulated measurements of class A is: (-0.9, -0.8, -0.7, -0.6, -0.4, -0.2, -0.1, 0.0, 0.3) while a set of simulated measurements of class B is: (-0.7, -0.5, -0.3, 0.0, 0.1, 0.2, 0.3, 0.5, 0.6, 0.7, 0.8). What are the optimal cuts on x if A is the signal and B is the background? (a) Using the Gini index (b) Using a simple significance (c) Using a more sophisticated significance
Consider a variable x which is physically meaningful in the range [-1; 1], for which there are two classes of events. A set of simulated measurements of class A is: (-0.9, -0.8, -0.7, -0.6, -0.4, -0.2, -0.1, 0.0, 0.3) while a set of simulated measurements of class B is: (-0.7, -0.5, -0.3, 0.0, 0.1, 0.2, 0.3, 0.5, 0.6, 0.7, 0.8). What are the optimal cuts on x if A is the signal and B is the background? (a) Using the Gini index (b) Using a simple significance (c) Using a more sophisticated significance
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Consider a variable x which is physically meaningful in the range [-1; 1],
for which there are two classes of events. A set of simulated measurements
of class A is: (-0.9, -0.8, -0.7, -0.6, -0.4, -0.2, -0.1, 0.0, 0.3) while a set of
simulated measurements of class B is: (-0.7, -0.5, -0.3, 0.0, 0.1, 0.2, 0.3,
0.5, 0.6, 0.7, 0.8).
What are the optimal cuts on x if A is the signal and B is the background?
(a) Using the Gini index
(b) Using a simple significance
(c) Using a more sophisticated significance](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3d650ba-823b-43ef-8441-b5685686fa23%2Fa59f5417-4531-4f1f-8e0a-09e46371d95a%2Fkkzyznc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a variable x which is physically meaningful in the range [-1; 1],
for which there are two classes of events. A set of simulated measurements
of class A is: (-0.9, -0.8, -0.7, -0.6, -0.4, -0.2, -0.1, 0.0, 0.3) while a set of
simulated measurements of class B is: (-0.7, -0.5, -0.3, 0.0, 0.1, 0.2, 0.3,
0.5, 0.6, 0.7, 0.8).
What are the optimal cuts on x if A is the signal and B is the background?
(a) Using the Gini index
(b) Using a simple significance
(c) Using a more sophisticated significance
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