Homework Help is Here – Start Your Trial Now!
Math
Statistics
Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(- b < z < b) = 0.9008, find b. b = II

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(- b < z < b) = 0.9008, find b. b = II

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Transcription:** Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If \( P(-b < z < b) = 0.9008 \), find \( b \). \( b = \) [ ] **Explanation:** This problem involves finding the value of \( b \) such that the probability that a standard normal variable \( z \) falls between \(-b\) and \(b\) is 0.9008. The standard normal distribution follows a bell curve, centered at 0 with a spread determined by the standard deviation (in this case, 1). The goal is to determine the z-scores on the standard normal distribution curve that correspond to a cumulative probability of 0.9008. This involves understanding the concept of z-scores and using the standard normal distribution table or technology to find the appropriate values of \( b \).
Transcribed Image Text:**Transcription:** Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If \( P(-b < z < b) = 0.9008 \), find \( b \). \( b = \) [ ] **Explanation:** This problem involves finding the value of \( b \) such that the probability that a standard normal variable \( z \) falls between \(-b\) and \(b\) is 0.9008. The standard normal distribution follows a bell curve, centered at 0 with a spread determined by the standard deviation (in this case, 1). The goal is to determine the z-scores on the standard normal distribution curve that correspond to a cumulative probability of 0.9008. This involves understanding the concept of z-scores and using the standard normal distribution table or technology to find the appropriate values of \( b \).
Expert Solution
Step 1

The question is about std. normal distribution

Given :

z ~N ( 0, 1 )

P ( -b < z < b ) = 0.9008

 

To find :

Value of b

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS