The continuous random variable X has the following probability densityfunction (pdf), for some positive constant c,for 0 < x < c.3(1+x)³f(x)=(a). Prove that c= √3-1.(a) Accept c = √√3-1. Plot f(x) in the range.(b) Find E(X); Var (X) using numerical integration.(c) Use Inversion method, find 20 random numbers from X=

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Answered: The continuous random variable X has…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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