Continous Random Variable

Question : A continuous random variable has a probability density function

f(x) =

Find the cumulative distribution

find the E[X] and Var X

__Solution __

*The random variable is a uniform distribution random variable*

Cumulative Distribution function * = *

But i dont know how to prove the above ......

My work :

=

= = 0 ...............Is this correct ?

E[X] =

= dx .............What should i do now integrate with and or what

And what about the Var X as well??

Thank u dedust and Captain black

Quote:

Originally Posted by

**CaptainBlack**
Now if

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and is a pdf, for

CB

Thank u dedust and captain black for helping be solve this problem

Zorro is deeply great full......... amigo's

cheers mite

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