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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).

MATLAB: An Introduction with Applications
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 x² /2 f(x) = x20 x<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).
Transcribed Image Text:A Rayleigh density function is given by x² /2 f(x) = x20 x<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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