Let X? - x? (1, µ²) and X, ~ N (4,, 0}). Find:(i) the probability distribution funciton (pdf) and moment-generating funciton (mgf) of 2X, – 1.(ii) the pdf of E(2X+1+ X,42 – 1) where the X, are independent, µ1 = 42 = 1, H3 = 3, µ4 = 4,%3DHs = 5, of = a} = 1, ož = o; = 4 and o} = 2.(iii) Identify the distribution in 2(i) and (ii).

Answered: the probability par) generat (mgf) (ii)…

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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the probability par) generat (mgf) (ii) the pdf of (2X,41+ X,+2 – 1) where the X, are independent, µ1 = µ2 = 1, µ Hs = 5, of = a} = 1, ož = o; = 4 and ož = 2. (iii) Identify the distribution in 2(i) and (ii).