QuestionFor a sequence of real numbers x1, x2, ... xn, suppose random variable X takes on thesen values withequal probability 1/n. Then the first and second moment of X are defined as follows:EX =n.EX?x?n.i=1The Variance of X is defined as the average value of the squared deviations from the mean:Var(X) = => (x; – EX)2i=1Expand the square (x; - EX)2 and manipulate the summations to arrive at the following formula:Var(X) = EX² – (EX)²Show also that(x; - EX)2 = > x,² – n(EX)²i=1i=1

It is an important part of statistics . It is widely used .

For a sequence of real numbers x1, x2, ... ,xn, suppose random variable X takes on thesen values with equal probability 1/n. Then the first and second moment of X are defined as follows: EX = - n. EX? x? The Variance of X is defined as the average value of the squared deviations from the mean: Var(X) -> (x; - EX)? i=1 Expand the square (x; – EX)² and manipulate the summations to arrive at the following formula: Var(X) = EX² – (EX)² Show also that > (x; – EX)² = x;² – n(EX)² (=1 i=1

For a sequence of real numbers x1, x2, ... ,xn, suppose random variable X takes on thesen values with equal probability 1/n. Then the first and second moment of X are defined as follows: EX = - n. EX? x? The Variance of X is defined as the average value of the squared deviations from the mean: Var(X) -> (x; - EX)? i=1 Expand the square (x; – EX)² and manipulate the summations to arrive at the following formula: Var(X) = EX² – (EX)² Show also that > (x; – EX)² = x;² – n(EX)² (=1 i=1

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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