### Finding Probability Using the Normal Distribution---#### Problem Statement:Find the probability using the normal distribution: $ P(z > 2.70) $. Use [The Standard Normal Distribution Table](#) and enter the answer to 4 decimal places.#### Solution:To solve this problem, follow these steps:1. **Access the Standard Normal Distribution Table**: - This table is also known as the Z-table and it provides the cumulative probability up to a given Z-score in a standard normal distribution. 2. **Locate the Z-score in the Table**: - For a Z-score of 2.70, find the corresponding value in the table.3. **Calculate the Complement Probability**: - Since the table provides cumulative probabilities from the left up to the Z-score, you need to subtract this value from 1 to find the probability of $ P(z > 2.70) $.4. **Enter the Answer**: - Enter the calculated probability to 4 decimal places in the designated box.#### Example:Suppose the cumulative probability from the table for $ Z = 2.70 $ is 0.9965:- $ P(Z > 2.70) = 1 - 0.9965 = 0.0035 $#### Interface Explanation:- There is a box to enter the calculated probability $ P(z > 2.70) $.- Buttons with functions to clear (X) and reset (a circular arrow) are present next to the input box.- Below, options to “Check”, “Save For Later”, and “Submit Answer” are available.#### Notes:- Make sure to enter the value accurately, up to four decimal places.- This problem is part of a sequence, as indicated by the navigation numbers (1 through 13) at the top, with the current question being number 7.---By understanding and following these steps, you can accurately determine the probability using the normal distribution for any given Z-score.

In question, We'll find the probability that P(Z>2.70) = ? Using Normal distribution. The…

Answered: Find the probability using the normal…

Find the probability using the normal distribution: P (z>2.70). Use O The Standard Normal Distribution Table and enter the answer to 4 decimal places, P(z>2.70) =D

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

### Finding Probability Using the Normal Distribution

---

#### Problem Statement:

Find the probability using the normal distribution: $ P(z > 2.70) $. Use [The Standard Normal Distribution Table](#) and enter the answer to 4 decimal places.

#### Solution:

To solve this problem, follow these steps:

1. **Access the Standard Normal Distribution Table**:
- This table is also known as the Z-table and it provides the cumulative probability up to a given Z-score in a standard normal distribution.

2. **Locate the Z-score in the Table**:
- For a Z-score of 2.70, find the corresponding value in the table.

3. **Calculate the Complement Probability**:
- Since the table provides cumulative probabilities from the left up to the Z-score, you need to subtract this value from 1 to find the probability of $ P(z > 2.70) $.

4. **Enter the Answer**:
- Enter the calculated probability to 4 decimal places in the designated box.

#### Example:
Suppose the cumulative probability from the table for $ Z = 2.70 $ is 0.9965:
- $ P(Z > 2.70) = 1 - 0.9965 = 0.0035 $

#### Interface Explanation:
- There is a box to enter the calculated probability $ P(z > 2.70) $.
- Buttons with functions to clear (X) and reset (a circular arrow) are present next to the input box.
- Below, options to “Check”, “Save For Later”, and “Submit Answer” are available.

#### Notes:
- Make sure to enter the value accurately, up to four decimal places.
- This problem is part of a sequence, as indicated by the navigation numbers (1 through 13) at the top, with the current question being number 7.

---

By understanding and following these steps, you can accurately determine the probability using the normal distribution for any given Z-score.

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