Could you please show and explain how to answer this in R Suppose, X is a r.v. and X ~ N(u, o²).Show that the new r.v. Y = ax + b, where a and b are constantsYΝ(αμ + b,d 62).Using software R, plot theoretical and empirical MGF for the new variable Y. For calculations and plotting useo² = 4, μ = 1, a = 0.1 and b= 1.

Given , we want to show that follows a normal distribution .Mean and Variance of Y:Therefore, .

Suppose, X is a r.v. and X~ N(u, o'). Show that the new r.v. Y - aX + b, where a and b are constants N(au + b,a²o²). Using software R, plot theoretical and empirical MGF for the new variable Y. For calculations and plotting use 6² 4. u = 1. a = 0.1 and h = 1. Y~

Suppose, X is a r.v. and X~ N(u, o'). Show that the new r.v. Y - aX + b, where a and b are constants N(au + b,a²o²). Using software R, plot theoretical and empirical MGF for the new variable Y. For calculations and plotting use 6² 4. u = 1. a = 0.1 and h = 1. Y~

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Could you please show and explain how to answer this in R

Suppose, X is a r.v. and X ~ N(u, o²).
Show that the new r.v. Y = ax + b, where a and b are constants
Y
Ν(αμ + b,d 62).
Using software R, plot theoretical and empirical MGF for the new variable Y. For calculations and plotting use
o² = 4, μ = 1, a = 0.1 and b
= 1.

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