### Understanding Z-Scores in Standard Normal Distribution#### Problem StatementGiven that Z is a standard normal random variable, what is the value \(z\) if the area to the right of \(z\) is 0.1949?#### Multiple Choice Options:- a) \(-2.15\)- b) \(2.31\)- c) \(0.86\)- d) \(1.67\)- e) \(-1.88\)#### ExplanationIn the context of the standard normal distribution, the question is asking us to find the z-score such that the area to the right of this z-score is 0.1949. To solve this, we can use the standard normal distribution table or a statistical software to find the corresponding z-value for the given cumulative area (1 - 0.1949 = 0.8051).The correct z-score can be found using these methods.#### Interface DescriptionThe problem appears to be presented on a screen of a MacBook Pro, where the user is likely working through a statistical problem set or quiz. The options are provided in a multiple-choice format with radio buttons next to each potential answer. #### Actionable Steps1. Identify the required z-value using statistical tools.2. Select the appropriate answer from the list provided.

According to the given information in this question we need to find the z value

Answered: Given that Z is a standard 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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Given that Z is a standard normal random variable, what is the value z if the ar is 0.1949? -2.15 2.31 0.86 1.67 -1.88