Posted by **ami** on Thursday, October 4, 2012 at 1:15pm.

Here is a simple way to create a random variable X that has mean μ and stan-

dard deviation σ: X takes only the two values μ−σ and μ+σ, eachwith probability

0.5. Use the definition of the mean and variance for discrete random

variables to show that X does have mean μ and standard deviation σ.

## Answer this Question

## Related Questions

- statistics - Assume that a procedure yields a binomial distribution with n ...
- probability - Determine whether each of the following statement is true (i.e., ...
- Statistics! - Many companies "grade on a bell curve" to compare the performance ...
- statistics - Suppose x has a normal distribution with mean μ = 35 and ...
- statistics - Assign your numbers for mean μ and standard deviation σ. ...
- Sociology (Stats) Std. Dev - Given (μ) = 500, and σ = 100. What ...
- Statistics - Suppose that you have a normally distributed population with ...
- Math-Statistics - Assume you build a Candy castle for which you buy a bag of ...
- statistics - The U.S. Geological Survey compiled historical data about Old ...
- Statistics - test the claim that μ1 = μ2 Two samples are randomly ...