Final answer:
Option 3) Skewed to the left is not a characteristic of the normal probability distribution, as a normal distribution is symmetric and not skewed in any direction.
Step-by-step explanation:
The characteristic that is not a feature of the normal probability distribution is 3) skewed to the left. A normal probability distribution is defined by its symmetrical, bell-shaped curve centered on the mean, which means it cannot be skewed to the left or to the right. Characteristics 1) Symmetric about the mean, 2) Bell-shaped, and 4) Not skewed to the right are true for a normal distribution.
Skewness affects the relationship between the mean, median, and mode. For a left-skewed distribution, the mean is typically less than the median. On the other hand, a right-skewed distribution typically has a mean greater than the median. However, for a normal distribution, the mean, median, and mode all coincide at the center of the distribution.
In conclusion, for a normal probability distribution, it is incorrect to say that the distribution is skewed either left or right, which makes choices 3) and 4) incorrect, reinforcing that the correct answer is 3) Skewed to the left.