Yes it is.
It may be or may not be; however a normal distribution is unimodal.
No, the normal distribution is strictly unimodal.
No. Normal distribution is a special case of distribution.
Yes, the normal distribution curve is unimodal, meaning it has a single peak or mode. This peak represents the mean, median, and mode of the distribution, which are all located at the center of the curve. The symmetry of the normal distribution around this central peak is a key characteristic, contributing to its widespread use in statistics and probability theory.
No they are not the same in a unimodal symmetrical distribution and they will never be
The standard normal distribution has a mean of 0 and a standard deviation of 1.
The standard normal distribution is a normal distribution with mean 0 and variance 1.
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
The standard deviation in a standard normal distribution is 1.
The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.
The standard deviation in a standard normal distribution is 1.
A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance of 1.