Answered: Sketch a drawing and use the standard…

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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Sketch a drawing and use the standard normal distribution table to answer the following questions:

(a) Find the area that lies between z= 0.92 and z= 2.73.

That is, find P(0.92< z <2.73)

(b) Find the area that lies to the right of z=−1.58. That is, find P(z >−1.58)(c) Find thez-score for which the area under the standard normal curve to its left is 0.8600.

(d) Find the z-score that has an area of 0.07 to its right under the standard normal curve. That is, find z0.07.

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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