Answered: 1.Which of the following statements…

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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1.Which of the following statements about a standard normal variable is true?

a) It has a standard deviation of zero

b) The total area under the standard normal curve is sometimes approximately equal to one

c) It has a mean of zero and standard deviation of one

d) Most of the time, the area under the half of the standard normal curve is approximately equal to one-half

2. Which of the following does not apply to the normal distribution?

a) The normal curve is unimodal (that is, it has one mode)

b) The total area under the curve is equal to one

c) The normal curve is symmetric about its standard deviation

d) The mean and the median are equal

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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