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