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Z=N(0,1) and Z^2=X^2

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Q: What is Distributions over the X N(ut)?
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Are all symmetric distributions normal distributions?

No. There are many other distributions, including discrete ones, that are symmetrical.


The usual sampling distributionof the difference between means is a what?

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.


Is the beta distribution is a special case of dirichlet distribution?

In a sense.Beta distributions are the marginal distributions of the Dirichlet distribution.


What is the formula to calculate pitch of a hexagonal nut?

For metric, use mm - For English, use Inches English Example: [ 1inch / (thickness of nut) ] x (number of turns for the bolt to get through the nut ) typical numbers are 18, 24, and 32. Metric: (thickness of nut in mm) / (number of turns for the bolt to get through the nut) typical numbers are 1, 1.25, 1.5, and 2.


Do normal probability distributions have different arithmetic means and different standard deviations?

Yes. And that is true of most probability distributions.