The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.
Mean
yup, it's a bell curve
They are all the same.
yes, it's always symmetric
Symmetric
The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.
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Mean
The Normal ditribution is symmetric but so are other distributions.
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.
They are both continuous, symmetric distribution functions.
A small partial list includes: -normal (or Gaussian) distribution -binomial distribution -Cauchy distribution
No. The Normal distribution is symmetric: skewness = 0.