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MATLAB: An Introduction with Applications
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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**Question:** Find the area under the standard normal curve between \( z = 1 \) and \( z = 2 \). **Answer Choices:** - A. 0.2139 - B. 0.5398 - C. 0.1359 - D. 0.8413 **Explanation:** In this problem, you're asked to determine the probability that a value falls between \( z = 1 \) and \( z = 2 \) in a standard normal distribution. The standard normal distribution is a probability distribution with a mean of 0 and a standard deviation of 1. To find the area under the curve between two z-values, you can use a standard normal distribution table, often referred to as a Z-table, or a calculator with statistical functions. The area between \( z = 1 \) and \( z = 2 \) represents the probability of a value falling within this range. To solve: 1. Find the area from the mean (0) to \( z = 2 \). 2. Subtract the area from the mean to \( z = 1 \). By doing this, you will get the area between \( z = 1 \) and \( z = 2 \). **Correct Answer:** C. 0.1359
Transcribed Image Text:**Question:** Find the area under the standard normal curve between \( z = 1 \) and \( z = 2 \). **Answer Choices:** - A. 0.2139 - B. 0.5398 - C. 0.1359 - D. 0.8413 **Explanation:** In this problem, you're asked to determine the probability that a value falls between \( z = 1 \) and \( z = 2 \) in a standard normal distribution. The standard normal distribution is a probability distribution with a mean of 0 and a standard deviation of 1. To find the area under the curve between two z-values, you can use a standard normal distribution table, often referred to as a Z-table, or a calculator with statistical functions. The area between \( z = 1 \) and \( z = 2 \) represents the probability of a value falling within this range. To solve: 1. Find the area from the mean (0) to \( z = 2 \). 2. Subtract the area from the mean to \( z = 1 \). By doing this, you will get the area between \( z = 1 \) and \( z = 2 \). **Correct Answer:** C. 0.1359
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