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For some kinds of distributions one, for others kinds, the other.
No. There are many other distributions, including discrete ones, that are symmetrical.
There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.
In a sense.Beta distributions are the marginal distributions of the Dirichlet distribution.
Yes. And that is true of most probability distributions.