Answered: Let the variable Z stand for a 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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Question

Let the variable Z stand for a standard normally-distributed variable. Find these probabilities

a. p (z < 1.76 )

b. p ( -2.05 < z < .66 )

C. p ( z > -1.62 )

Then, find these z values that satisfy the following conditions

a. 87.29% of the area under the distribution curve is to the left of it

b. 67.72% of the area under the distribiution curve lies to the right of it

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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