We want to separate signal events (S) from background events (B). We can simulate both types of events and check their distributions in two dimensions, x and y. S and B have the means vectors μs and ПB and the covariance matrices Vs and VB in the two dimensions, x and y: 1 = = ( 4.0 ), μB = ( 20 ) . Vs = 3- (32). - (1 ½). VB = 22 12 a) Compute the coefficients of a Fisher discriminant to classify the data into signal S and background B. b) Simulation of signal and background have produced the following five signal and five back- ground events: c) signal: y -0.28 3.48 1.30 4.52 -2.62 1.66 0.94 4.81 -1.13 3.53 background: X y 2.78 0.84 1.75 2.31 2.62 2.71 0.39 0.05 2.00 2.14 Calculate the fisher discrimimant for the events and state a possible cut to distinguish signal and background. The following five data events have been collected: X y 1.21 0.21 -0.05 0.40 -0.82 2.29 -1.31 2.35 2.32 1.42 Calculate the 95% CL upper limit on the number of signal events which pass the selection.

We want to separate signal events (S) from background events (B). We can simulate both types of events and check their distributions in two dimensions, x and y. S and B have the means vectors μs and ПB and the covariance matrices Vs and VB in the two dimensions, x and y: 1 = = ( 4.0 ), μB = ( 20 ) . Vs = 3- (32). - (1 ½). VB = 22 12 a) Compute the coefficients of a Fisher discriminant to classify the data into signal S and background B. b) Simulation of signal and background have produced the following five signal and five back- ground events: c) signal: y -0.28 3.48 1.30 4.52 -2.62 1.66 0.94 4.81 -1.13 3.53 background: X y 2.78 0.84 1.75 2.31 2.62 2.71 0.39 0.05 2.00 2.14 Calculate the fisher discrimimant for the events and state a possible cut to distinguish signal and background. The following five data events have been collected: X y 1.21 0.21 -0.05 0.40 -0.82 2.29 -1.31 2.35 2.32 1.42 Calculate the 95% CL upper limit on the number of signal events which pass the selection.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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