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Answer: Skewness=0, kurtosis=3
The correct answer is A. For a normal distribution: 1. **Skewness = 0**: A normal distribution is perfectly symmetrical around its mean, so its skewness (third standardized moment) is zero. 2. **Kurtosis = 3**: The kurtosis (fourth standardized moment) of a normal distribution is 3. This is often referred to as "mesokurtic." **Key concepts:** - **Skewness** measures the asymmetry of a distribution. Positive skewness indicates a longer right tail, negative skewness indicates a longer left tail, and zero indicates symmetry. - **Kurtosis** measures the "tailedness" or peakedness of a distribution. A kurtosis of 3 is the baseline for normal distributions. Values greater than 3 indicate "leptokurtic" distributions (heavy tails), while values less than 3 indicate "platykurtic" distributions (light tails). Option B is incorrect because skewness is 0, not 1. Option C is incorrect because kurtosis is 3, not 2. Option D is incorrect because kurtosis is 3, not 4.
Author: Nikitesh Somanthe
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