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The normal distribution, also known as the Gaussian distribution, is one of the most widely used probability distributions in statistics and probability theory. It is a continuous probability distribution that is symmetric about its mean, which makes it particularly useful for modeling real-world phenomena in various fields such as natural sciences, social sciences, and economics. Understanding the characteristics of the normal distribution is crucial for applying probability theory in data analysis, hypothesis testing, and inferential statistics. One of the primary characteristics of the normal distribution is its bell-shaped curve. The curve is highest at the mean, and it tapers off symmetrically on both sides. This bell shape indicates that values closer to the mean are more probable, while extreme values are less likely. The symmetry of the curve is another key characteristic. In a normal distribution, the left and right halves of the __________ __________ _____ ____ _______ _____.
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