Which of the following does not describe the standard normal distribution?

• A. It is symmetric about the mean.
• B. It has a mean of $0$ and a standard deviation of $1$.
• C. Its total area under the curve is $1$.
• D. It is skewed to the right.

Answer: (D)

Verified step by step guidance

1. Recall the definition of the standard normal distribution: it is a normal distribution with a mean of 0 and a standard deviation of 1.
2. Understand that the standard normal distribution is symmetric about its mean, meaning the left and right sides of the curve are mirror images.
3. Remember that the total area under the standard normal distribution curve equals 1, representing the total probability.
4. Recognize that skewness measures the asymmetry of a distribution. A skewed distribution is not symmetric.
5. Since the standard normal distribution is symmetric, it cannot be skewed to the right or left; therefore, the statement 'It is skewed to the right' does not describe the standard normal distribution.