Title: Solving for a Z-Value in a Standard Normal Distribution**Problem Statement:**Suppose that a random variable \( Z \) has a standard normal distribution. Find \( a \) such that \( P(Z > a) = 0.229 \). Give your answer to two decimal places. You may find this Z-table useful.**Input Box:**\( a = \) [Input Field](Current Answer: \(-2.00\), marked as Incorrect)---To solve this problem, you need to use the Z-table to find the value of \( a \) that corresponds to a right-tail probability of 0.229 in a standard normal distribution. The Z-table provides the cumulative probabilities for different Z-scores, which can help identify the correct value for \( a \).Steps to solve:1. Look up the cumulative probability on the Z-table that equals \( 1 - 0.229 = 0.771 \).2. Find the corresponding Z-score for this cumulative probability.3. Input the correct Z-score rounded to two decimal places. This exercise helps in understanding the application of the standard normal distribution in calculating probabilities and finding specific percentiles.

Note: Total area under the normal curve is 1. Area to the left of the normal curve = 1-0.229 =…

Answered: Suppose that a random variable Z has a…

Suppose that a random variable Z has a standard normal distribution. Find a such that P(Z > a) = 0.229. Give your answer to two decimal places. You may find this Z-table useful. a = -2.00 Incorrect

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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