1.The circular probable error (CPE) is a measure of accuracy for a shooting system of atoy rifle at the target on the (x, y) plane. A boy shoots at the target on the (x, y) plane.The actual point in which the shooting hits the target on the (x, y) plane is assumed tofollow a bivariate normal distribution with the means x = y = 0, standard deviationsOx=oy=σ and correlation coefficient p = 0. The CPE of the boy is defined as theradius of a circle centred at (0, 0) with a probability 0.5 to encompass (X, Y), i.e., thepoint where the shooting hits the target. If r = CPE, then Pr(√X² +Y² ≤r)=0.5.Derive a formula for r in terms of σ.

Answered: The circular probable error (CPE) is a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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