this is statistics and probability

A. Write TRUE if the statement is true. Otherwise, write FALSE. I. The Gaussian Distribution is named after Karl Friedrich Gauss because he discovered it 2. A normal random variable always has multiple modes, making it multimodal. 3. The mean, median, and mode of a normal distribution always differ from each other 4. A larger standard deviation in a normal distribution results in a narrower curve. 5. The Empirical Rule states that approximately 80% of the data falls within one standard deviation of the mean. 6. The shape of the normal distribution is always asymmetric, with more data concentrated on one side of the mean. 7. The total area under a normal curve is less than 1 or 100%. 8. A normal random variable exhibits a symmetrical bell-shaped curve when plotted on a graph. 9. The mean of a normal distribution represents its central tendency, and the median and mode coincide with the mean due to the symmetry of the curve. 10. The standard deviation determines the spread or dispersion of the data around the mean in a normal distribution, with a larger standard deviation resulting in a wider curve. 60