(1) Explain why the following functions are, or are not, probability density functions:(a) f(x) = ² for x = [1, √e](b) f(x) = 5 (9x² – x4) for x = [0,3]

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Answered: (1) Explain why the following functions…

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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(1) Explain why the following functions are, or are not, probability density functions: (a) f(x) = ² for x = [1, √e] (b) f(x) = 5 (9x² – x4) for x = [0,3]