The mean of the normal distribution is indeed 0. The normal distribution is symmetrical, and the peak of the curve is at the mean. In the image, the peak of the curve is at 0, so the mean must also be 0. Here option B is correct.
The statement regarding the mean of a normal distribution is accurate. In a normal distribution, the mean is indeed the center of the distribution, and the curve is symmetrically distributed around it. This means that the highest point on the curve, or the peak, corresponds to the mean value.
In the given image, where the peak of the curve is at 0, it aligns with the concept that the mean of the normal distribution is 0. This symmetry implies that values on both sides of the mean are equally likely, contributing to the bell-shaped curve characteristic of a normal distribution.
Therefore, the correct answer is B, as the highest point on the curve is centered at 0, confirming that the mean of the normal distribution in this case is indeed 0.
Complete question:
What is the mean of the normal distribution shown below?
A - –1
B - 0
C - 1
D - 2