Find distribution function given p.d.f

[mutzy188]

Homework Statement

The probability density function of X is f(x) = 2x, 0 < x < 1
Find the distribution function of X.

The Attempt at a Solution

I just don't know what to do here. The book does something with Y and the change of variables and I don't understand why they were doing that. I had origionally thought that to do this problem I would just have to integrate the function??

 

[JasonRox]

Change of variables?

What is a distribution function? Ask yourself that question first. You will find that a distribution function is...

F(x) = P(X<=x)=Integral(x,-infinity)f(t)dt

That's it. You are integrating the function. Change of variables? No. I'll let you work from here.

Note: I'm like you. If I don't know what I'm doing, I'm just like... change of variables? Jacobian? Screw this!

 

[mutzy188]

k Thanks