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%.(Round to two decimal places as needed.)(b) About nothing scores would be expected to be greater than 21.(Round to the nearest whole number as needed.) The image contains a bell-shaped normal distribution curve, which is symmetric about a central value. The x-axis is labeled as "Score," and specific scores 19 and 21 are marked and highlighted with a vertical red dashed line at 20, indicating the mean ($ \mu $) of the distribution.Key features:- The mean ($ \mu $) is indicated as 19.5, slightly to the left of the peak of the graph. - The standard deviation ($ \sigma $) is given as 5.4, which measures the spread of the distribution.- The curve represents the distribution of scores, showing that most scores are clustered around the mean.Understanding this graph is essential for grasping how data is distributed around a mean in a normally distributed set. The standard deviation informs how much variation there is from the average score.

From the provided information, Mean (µ) = 19.5 Standard deviation (σ) = 5.4 Let X be a random…

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%. (Round to two decimal places as needed.) (b) About nothing scores would be expected to be greater than 21. (Round to the nearest whole number as needed.)

The image contains a bell-shaped normal distribution curve, which is symmetric about a central value. The x-axis is labeled as "Score," and specific scores 19 and 21 are marked and highlighted with a vertical red dashed line at 20, indicating the mean ($ \mu $) of the distribution.

Key features:
- The mean ($ \mu $) is indicated as 19.5, slightly to the left of the peak of the graph.
- The standard deviation ($ \sigma $) is given as 5.4, which measures the spread of the distribution.
- The curve represents the distribution of scores, showing that most scores are clustered around the mean.

Understanding this graph is essential for grasping how data is distributed around a mean in a normally distributed set. The standard deviation informs how much variation there is from the average score.

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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