The figure shows a normal M400,23) distribution. Find the x value for the shaded area. H-400 o- 23 0.05 x= 7?? 400 Multiple Cholce O 362.2 355.7 O 379.1 O 347.6

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The image presents a problem involving a normal distribution, specifically \( N(400, 23) \). The task is to find the \( x \) value corresponding to a shaded area under the curve. 

The normal distribution curve is shown with a mean (\( \mu \)) of 400 and a standard deviation (\( \sigma \)) of 23. The left tail of the curve, representing 5% (0.05) of the area, is shaded. The goal is to find the \( x \) value that corresponds to the lower 5% of the distribution.

Below the diagram, a multiple-choice question is provided with the following options for the \( x \) value:

- 362.2
- 355.7
- 3791
- 3476

The reader is required to select the correct \( x \) value from these options based on their understanding of the normal distribution and related calculations.
Transcribed Image Text:The image presents a problem involving a normal distribution, specifically \( N(400, 23) \). The task is to find the \( x \) value corresponding to a shaded area under the curve. The normal distribution curve is shown with a mean (\( \mu \)) of 400 and a standard deviation (\( \sigma \)) of 23. The left tail of the curve, representing 5% (0.05) of the area, is shaded. The goal is to find the \( x \) value that corresponds to the lower 5% of the distribution. Below the diagram, a multiple-choice question is provided with the following options for the \( x \) value: - 362.2 - 355.7 - 3791 - 3476 The reader is required to select the correct \( x \) value from these options based on their understanding of the normal distribution and related calculations.
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