## Worksheet on Distributions

...still under development...

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This page presents numerous problems related to various distributions.
These are presented in distinct sections, one section for each kind of distribution.
In each section a number of problems
are stated. The idea is to see if you can solve those problems.
However, below those statements you will find not just the answers but also
the methods for finding those solutions.

Please note that each time this page is loaded or refreshed all of the problems
change.

### The Standard Normal Distribution

Because these are standard normal distributions we know that the mean is 0 and the standard
deviation is 1, i.e., μ=0 and σ=1. Or, we could say that the distribution is
**N(0,1)**.

### The Normal Distribution in general

Because these are normal distributions in general we need to specify the mean and the standard
deviation for each distribution i.e.,the value of μ and σ.

### The basic Student's-t Distribution

Because these are basic Student's distributions we must specify, in each case, the
**degrees of freedom**. We use the term **basic** because we are assuming
the the mean is zero and the standard deviation is one.

### The basic χ² Distribution

Because these are basic χ² distributions we must specify, in each case, the
**degrees of freedom**.

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©Roger M. Palay
Saline, MI 48176 March, 2020