### Understanding Normal DistributionsReview the statements below to decide which are true regarding normal distributions.#### Answer:1. The inflection points for any normal distribution are three standard deviations on either side of the mean.2. The mean of a normal distribution is always 0.3. The total area under a normal distribution curve with a standard deviation of 4 is the same as the area under a normal distribution curve with a standard deviation of 12.4. Normal distributions are always symmetric and bell-shaped.**Explanation:**- **Inflection Points:** The inflection points of a normal distribution occur at one standard deviation from the mean, not three. - **Mean of Distribution:** The mean of a normal distribution can be any value. It is not always 0. However, it is often 0 in a standardized normal distribution. - **Area Under the Curve:** Regardless of the standard deviation, the total area under any normal distribution curve is always 1, as it represents the probability of all possible outcomes.- **Symmetry and Shape:** Normal distributions are indeed symmetric and have a characteristic bell shape.By verifying these properties, you strengthen your understanding of how normal distributions function in statistical analyses.

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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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In a normal distribution, a data value located 0.9 standard deviations below the mean has Standard Score: In a normal distribution, a data value located 2.1 standard deviations above the mean has Standard Score: In a normal distribution, the mean has Standard Score: z = Question Help: D Video Submit Question
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