| Line 3: | Line 3: | ||
in class we found the following: | in class we found the following: | ||
| − | <math>E[ | + | <math>E[X] = \frac{a+b}{2}</math> |
| + | <math>E[X^2] = \frac{a^2+ab+b^2}{3}</math> | ||
| + | |||
| + | Thus using the formula for variance: | ||
Revision as of 12:15, 2 November 2008
The problem only asks for the variance of a uniform R.V. on the interval [a,b]
in class we found the following:
$ E[X] = \frac{a+b}{2} $ $ E[X^2] = \frac{a^2+ab+b^2}{3} $
Thus using the formula for variance:
