Question 2 The transformation of velocity vector, v m/s of a moving-body of mass m kg into corresponding kinetic energy (KE) is given by: KE=y= [(1/2)x mxv²] joules. Suppose v denotes a RV with its pdf specified as follows: fv(v) = av =0 in the range in the range (0≤v≤+1) otherwise And, a is a constant. Hence, determine the following: (i) Value of α; (ii) pdf of y (= KE); (iii) range of the transformed random variable, y; and, (iv) sketch the pdf of y over its range determined.

Question 2 The transformation of velocity vector, v m/s of a moving-body of mass m kg into corresponding kinetic energy (KE) is given by: KE=y= [(1/2)x mxv²] joules. Suppose v denotes a RV with its pdf specified as follows: fv(v) = av =0 in the range in the range (0≤v≤+1) otherwise And, a is a constant. Hence, determine the following: (i) Value of α; (ii) pdf of y (= KE); (iii) range of the transformed random variable, y; and, (iv) sketch the pdf of y over its range determined.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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