Weibull random variable question (three parts)

[trickslapper]

Let X have the exponential distribution with parameter alpha and let beta be a positive real number.

a. Determine the CDF of the random variable Y=X[sup:2vf23la1]1/beta[/sup:2vf23la1].

b. Determine a PDF of Y. Note: A random variable with this PDF is called a Weibull random variable and is said to have the Weibull distribution with parameters alpha and beta.

c. Graph the PDF and CDF of a Weibull random variable if beta<1; beta=1; beta>1.



I can probably figure out part c on my own, by reading through the chapter some more.. but the book doesn't really discuss any Weibull distributions. Would i just find the CDF and then take the derivative to get the PDF? If so... how exactly do i determine the CDF?


thanks!

 

[galactus]

There are all sorts of sites showing how to graph these on Excel. Here is one:

http://www.dailymotion.com/video/xd9kts ... uti_school


Do some googling and you can find plenty on the Weibull.