A random variable X has a probability density function equal to Where p is a constant in the interval [0, 1] and C is another constant. Ask: a) Find C so that fX (x) is a probability density function valid. b) Determine the generator function of moments MX(s) of V.A. X. c) Use MX(s) to calculate E{X}.

A random variable X has a probability density function equal to Where p is a constant in the interval [0, 1] and C is another constant. Ask: a) Find C so that fX (x) is a probability density function valid. b) Determine the generator function of moments MX(s) of V.A. X. c) Use MX(s) to calculate E{X}.

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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