Hello
Here's a question:
Let X have a continuous uniform distribution on the interval [a,b]. Find the density function for this dristribution and then verify that
and
.
ok
So here's what I "think" I should do ...
Let f(x) = 1/(b-a) = 1 assuming that a=0 and b=1
For a <= x <= b
I know I need to integrate, but I'm not sure how to set up the problem
where f(x) = 1
then
which equals 1/2 when pluging in [a.b]
Verifying ...
you get
and then we have
so ...
When you plug in the interval [0,1] you get
verifying
You also get
Is this correct? wow, that was long, sorry, I just tried to do it myself without any help at first. Be nice to me, it's my first post and it's also my birthday! WOOHOO
Thanks for all the help