Answered: The following is a sufficient…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The following is a sufficient condition, the Laplace–
Liapounoff condition, for the central limit theorem: If

X1, X2, X3, ... is a sequence of independent random vari-
ables, each having an absolute third moment

ci = E(|Xi − μi|
3)

and if

lim n→q[var(Yn)]
− 3
2 ·
n
i=1
ci = 0

where Yn = X1 + X2 +···+ Xn, then the distribution

of the standardized mean of the Xi approaches the stan-
dard normal distribution when n→q. Use this condi-
tion to show that the central limit theorem holds for the

sequence of random variables of Exercise 7.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Power Series$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions