Total marks 165.Let (,,P) be a probability space and let X : → R be a randomvariable whose probability density function is given by f(x) = }}|x|e¯|×| forx Є R.(i)(ii)Find the characteristic function of the random variable X.[8 Marks]Using the result of (i), calculate the first two moments of therandom variable X, i.e., E(X") for n = 1, 2.(iii) What is the variance of X?[6 Marks][2 Marks]

Answered: Image /qna-images/answer/f9a374bb-d36d-408f-b888-4c0c9c073c6a.jpg

Answered: Total marks 16 5. Let (,,P) be a…

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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