A random variable X has range (0, 2), and p.d.f. given byKx³ (1 - 12/7)0 < x < 2,f(x)= Kr³ (1where K is a suitable normalising constant.(a) Show that in order for f(x) to be a valid p.d.f. over therange (0, 2), the normalising constant K must be equal to 2.(b) Calculate the expected value of the random variable X.

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Answered: (a) Show that in order for f(x) to be a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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(a) Show that in order for f(x) to be a valid p.d.f. over the range (0, 2), the normalising constant K must be equal to (b) Calculate the expected value of the random variable X.