A normal distribution can have any value for its mean and any positive value for its variance.
A standard normal distribution has mean 0 and variance 1.
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Yes. Normal (or Gaussian) distribution are parametric distributions and they are defined by two parameters: the mean and the variance (square of standard deviation). Each pair of these parameters gives rise to a different normal distribution. However, they can all be "re-parametrised" to the standard normal distribution using z-transformations. The standard normal distribution has mean 0 and variance 1.
The standard deviation in a standard normal distribution is 1.
The standard deviation in a standard normal distribution is 1.
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.