Explanation As a normal distribution curve is symmetrical around the mean and the area under the curve is equal to 1 , the area to the left or right of the mean is 0.5. The area between the first positive standard deviation, + σ and the first negative standard deviation, − σ is equal to 0.68. So, the area between mean, μ and one standard deviation, σ is 0.34. Therefore, the area to the right of μ + σ should be 0

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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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Solution Summary: The author explains that a normal distribution curve is symmetrical around the mean and the area under it is equal to 1. The area to the right of mu +sigma is less than

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