A Rayleigh density function is given byx² /2f(x) =x20x<0(a)Prove that f(x) satisfies the properties of the pdf(i) f(x) >0 for all x and(ii) [f(x)dx = 1.(b)Find the distribution function F(x).(c)Find P(0.5< X <2).(d)Find P(0.5< X < 2).

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Answered: A Rayleigh density function is given by…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A Rayleigh density function is given by S(2) = *e* xe2 x20 f(x) x<0 (a) Prove that f(x) satisfies the properties of the pdf 8. (ii) [ƒ(x)dx = 1. %3D (i) f(x)>0 for all x and (b) Find the distribution function F(x). (c) Find P(0.5 < X < 2). (d) Find P(0.5 < X < 2).

A Rayleigh density function is given by S(2) = e xe2 x20 f(x) x<0 (a) Prove that f(x) satisfies the properties of the pdf 8. (ii) [ƒ(x)dx = 1. %3D (i) f(x)>0 for all x and (b) Find the distribution function F(x). (c) Find P(0.5 < X < 2). (d) Find P(0.5 < X < 2).