Answered: e require a non-zero variance in the…

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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We require a non-zero variance in the central limit theorem, because

Select one:

a. otherwise, the X_i do not converge in distribution.

b. otherwise we cannot use the weak law of large numbers and the central limit theorem gives a stronger conclusion.

c. otherwise the X_i are constant and therefore do not converge to the normal distribution.

d. otherwise the X_i are all equal to the constant random variable 0.

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.

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