Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.) Between −1.41 and 0.62 ### Table 3: Areas under the Normal CurveThis table provides the cumulative area under the standard normal distribution curve, corresponding to specific z-scores. It is a reference for determining the probability that a normally distributed random variable will fall within a particular range.#### Understanding the Table- **Z-Scores (z):** The leftmost column lists z-scores ranging from -3.4 to 3.4 in increments of 0.1.- **Columns (.00 to .09):** Each row is followed by 10 columns representing additional increments from .00 to .09.#### How to Use the Table1. **Locate the Z-Score:** To find the area under the curve for a specific z-score, first locate the z-score in the leftmost column.2. **Choose the Decimal Place:** Move across the row to the column that corresponds to the second decimal place of the z-score.3. **Read the Area:** The intersection of the row and column gives the cumulative probability (area).#### ExampleFor a z-score of -1.96:- Locate -1.9 in the leftmost column.- Move to the column under .06.- The table entry is .0250, indicating that the area to the left of z = -1.96 is 0.0250.#### ApplicationsThis table is widely used in statistics for hypothesis testing, confidence interval calculations, and more. It provides a quick reference to assess probabilities for standard normal distribution events. This image displays a continuation of Table 3, which is typically a standard normal distribution table or Z-table used in statistics. This type of table provides the cumulative area (probability) from the left up to a specific Z-value in a standard normal distribution (mean of 0, standard deviation of 1).**Explanation of the Table:**- **Columns and Rows:** - The leftmost column represents the Z-value up to the first decimal point (e.g., 0.0, 0.1, 1.0, 2.5). - The topmost row represents the second decimal place of the Z-value (e.g., .00, .01, .02).- **Finding a Probability:** - To find the cumulative probability for a given Z-value, combine the row and column values. For example, for Z = 1.23, locate the row for 1.2 and the column for .03 and find the value at their intersection, which is 0.8907.- **Table Values:** - The values in the table are cumulative probabilities, indicating the area under the standard normal curve to the left of a given Z-value.This table helps in statistical calculations, particularly in hypothesis testing and confidence interval estimation, by allowing users to find probabilities associated with specific Z-values.

We have given thatMean( = 0Standard deviations () = 1

Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.) Between −1.41 and 0.62

Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.) Between −1.41 and 0.62

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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