Answered: Given a standardized normal…

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

Given a standardized normal distribution , what is the probability that

(A) Z is less than 1.57?

(B) Z is greater than 1.84? Answer:

(D) Z is less than 1.57 or greater than 1.84? Answer:

(E) Z is greater than –1.84? Answer:

(F) Z is between –1.57 and 1.84? Answer:

(G) Z is less than or greater than 1.84? Answer:

(H) What is the value of Z if only 2.5% of all possible Z values are larger? ANswer: Z =

(I) Between what two values of Z (symmetrically distributed around the mean) will 95.44% of all possible Z values be contained? Answer: Z =

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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