**Section 5.1.55: Calculating Probabilities Using the Standard Normal Distribution****Objective:**Find the indicated probability using the standard normal distribution.**Problem Statement:**Determine the probability $ P(z < -2.25 \text{ or } z > 2.25) $.**Resources:**To solve this problem, you may refer to the standard normal distribution tables:- [View page 1 of the standard normal table]- [View page 2 of the standard normal table]**Solution:**Calculate $ P(z < -2.25 \text{ or } z > 2.25) $ and provide the answer rounded to four decimal places. Enter your result in the box provided.

Obtain the probability value. Use Excel to obtain the probability value for z =–2.25 Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=NORMSDIST” Enter the test statistic z as –2.25. Click enter EXCEL output: From the Excel output, the P-value is 0.0122. Obtain the probability value. Use Excel to obtain the probability value for z =2.25 Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=NORMSDIST” Enter the test statistic z as 2.25. Click enter EXCEL output: From the Excel output, the P-value is 0.9878. Therefore,

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5.1.55 Find the indicated probability using the standard normal distribution. P(Z< -2.25 orz> 2.25) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. P(Z< - 2.25 orz> 2.25) = (Round to four decimal places as needed.)

5.1.55 Find the indicated probability using the standard normal distribution. P(Z< -2.25 orz> 2.25) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. P(Z< - 2.25 orz> 2.25) = (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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**Section 5.1.55: Calculating Probabilities Using the Standard Normal Distribution**

**Objective:**
Find the indicated probability using the standard normal distribution.

**Problem Statement:**
Determine the probability $ P(z < -2.25 \text{ or } z > 2.25) $.

**Resources:**
To solve this problem, you may refer to the standard normal distribution tables:
- [View page 1 of the standard normal table]
- [View page 2 of the standard normal table]

**Solution:**
Calculate $ P(z < -2.25 \text{ or } z > 2.25) $ and provide the answer rounded to four decimal places. Enter your result in the box provided.

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