company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 154.5 cm and a standard deviation of 2.3 cm. A Find P45 which is the length separating the shortest 45% rods from the longest 55%. P45 %3D cm (z = %3D Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 1 -1 3. 4 -1.5
company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 154.5 cm and a standard deviation of 2.3 cm. A Find P45 which is the length separating the shortest 45% rods from the longest 55%. P45 %3D cm (z = %3D Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 1 -1 3. 4 -1.5
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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![A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 154.5 cm and a standard deviation of 2.3 cm.
Find \( P_{45} \), which is the length separating the shortest 45% of rods from the longest 55%.
\[ P_{45} = \] _____ cm
\[ (z = \] _____ \() \)
Shade: Left of a value.
Click and drag the arrows to adjust the values.
---
**Graph Description:**
The graph is a standard normal distribution curve (bell curve) with the x-axis marked from -4 to 4. There is a shaded blue area on the left side of the curve, which represents the shortest 45% of the distribution. An arrow pointing to a position of -1.5 on the x-axis indicates the z-score for this percentile. The curve is symmetrical, showing the probabilities of different lengths within the normal distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9a18fb2-9748-47c9-8da4-882647dead41%2F4b50a46e-6198-496c-8e97-43d88a97b26e%2Fi27zjwi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 154.5 cm and a standard deviation of 2.3 cm.
Find \( P_{45} \), which is the length separating the shortest 45% of rods from the longest 55%.
\[ P_{45} = \] _____ cm
\[ (z = \] _____ \() \)
Shade: Left of a value.
Click and drag the arrows to adjust the values.
---
**Graph Description:**
The graph is a standard normal distribution curve (bell curve) with the x-axis marked from -4 to 4. There is a shaded blue area on the left side of the curve, which represents the shortest 45% of the distribution. An arrow pointing to a position of -1.5 on the x-axis indicates the z-score for this percentile. The curve is symmetrical, showing the probabilities of different lengths within the normal distribution.
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