A system receives entities according to the followingdensity function:f(x) = 2(x − a) = (b − a), a ≤ x ≤ b, x ≥ 0-and f(x) = 0 otherwise.1. Derive the cumulative distribution function for a=3,b=5;2. Plot the density and cumulative functions for asample from population x: {0,1, 2, 3, 4,5,6,7,8,9,10};3. Derive the equation of the random variate X when arandom uniform number is generated U using InverseMethod. Use EXCEL to check your answers

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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 system receives entities according to the following density function: f(x) = 2(x-a) ÷ (b-a), a ≤ x ≤ b, x ≥ 0 and f(x) = 0 otherwise. 1. Derive the cumulative distribution function for a=3, b=5;