Use the normal distribution to the right to answer the questions.(a) What percent of the scores are less than 19?(b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?(a) The percent of scores that are less than 19 is nothing (blank) %.(b) About (blank) scores would be expected to be greater than 21. The image displays a bell curve, representing a normal distribution graph. Key features of this diagram include:- **Mean ($ \mu $)**: The mean score is 19.5, indicated by the peak of the curve and marked with a red dashed line. This line corresponds to the center of the distribution. - **Standard Deviation ($ \sigma $)**: The standard deviation is 5.4, which measures the dispersion or spread of the scores around the mean.- **Score Axis (x-axis)**: This horizontal axis is labeled "Score" and includes markings at 19 and 21, indicating units on either side of the mean.Overall, the graph illustrates a symmetric distribution of scores around the mean, with the majority of data points clustering near 19.5 and tapering off symmetrically in both directions as you move away from the mean.

a) Given that μ=19.5σ=5.4 The percent of the scores are less than 19 is, PX<19=PX-μσ<19-μσ…

Answered: Use the normal distribution to the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Use the normal distribution to the right to answer the questions. (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? (a) The percent of scores that are less than 19 is nothing (blank) %. (b) About (blank) scores would be expected to be greater than 21.

The image displays a bell curve, representing a normal distribution graph. Key features of this diagram include:

- **Mean ($ \mu $)**: The mean score is 19.5, indicated by the peak of the curve and marked with a red dashed line. This line corresponds to the center of the distribution.

- **Standard Deviation ($ \sigma $)**: The standard deviation is 5.4, which measures the dispersion or spread of the scores around the mean.

- **Score Axis (x-axis)**: This horizontal axis is labeled "Score" and includes markings at 19 and 21, indicating units on either side of the mean.

Overall, the graph illustrates a symmetric distribution of scores around the mean, with the majority of data points clustering near 19.5 and tapering off symmetrically in both directions as you move away from the mean.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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