# Standard Normal TableThis Standard Normal Table provides the cumulative probabilities for the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. The table lists the probabilities that a standard normal random variable \(Z\) is less than or equal to a given value \(z\).## Table DescriptionThe table is organized as follows:### Rows and Columns:- **Rows (z-value, 0.0 to 2.6)**: Each row corresponds to a fixed \(z\) value ranging from 0.0 to 2.6.- **Columns (additional decimal, .00 to .09)**: Each column represents the second decimal place for \(z\).### Usage:To find the cumulative probability \(P(Z \leq z)\):1. Identify the row corresponding to the first decimal place of your \(z\) value.2. Identify the column corresponding to the second decimal place.3. The intersection of the row and column provides the cumulative probability.### Example:To find \(P(Z \leq 1.23)\):- Look at the row for \(z = 1.2\).- Then, go to the column for .03.- The table entry at this intersection is .8907.This value indicates that there is an 89.07% probability that a standard normal random variable is less than or equal to 1.23. **Finding the Area Under the Standard Normal Curve**To find the area of the shaded region under the standard normal curve:- **Graph Description:** The diagram illustrates a standard normal distribution curve (bell-shaped). The shaded region to the right of the z-score line at z = 0.41 represents the area we need to calculate.1. **Accessing the Standard Normal Table:** - Click the link provided to view the standard normal table, which will help you find the exact area corresponding to the z-score.2. **Calculating the Area:** - Use the standard normal table to find the area under the curve to the left of the z-score (z = 0.41). - To find the shaded area to the right, subtract this value from 1.3. **Input the Result:** - Enter the calculated area into the provided box. - Ensure to round your answer to four decimal places as needed.**Note:** The area of the shaded region is a crucial component in interpreting probabilities and statistical significance.

Draw the normal curve and shade the area to the right of z=0.41. Since the total area under the normal curve is 1. therefore, the area to the left of normal is Refer to Standard normal table/Z-table to find the probability of z=0.41 to the left of the normal curve. OR Use excel formula "=NORM.S.DIST(0.41, TRUE)" to find the probability. Therefore, the probability is

Answered: Find the area of the shaded region…

Math

Statistics

Find the area of the shaded region under the standard normal curve. E Click here to view the standard normal table. z = 0.41

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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