- #1
Phox
- 37
- 0
Homework Statement
given pdf:
f(x) = 2/3x for 0<=x<=1
f(x) = 2/3 for 1<x<=2
f(x) = 0 elsewhere
Find the CDF.
Homework Equations
The Attempt at a Solution
I've found:
F(x) = 0 for x<= 0
F(x) = 1 for x>=2
F(x) = (1/3)x2 for 0<=x<=1
and I found:
F(x) = (2/3)x for 1<x<=2
However, the last bit is incorrect. It should be F(x) = (2/3)x -(1/3)
I'm unclear as to why. I think it has something to do with solving for the constant of integration, but I'm not sure exactly.