(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For the random variable X with probability density function determine the distribution function F(x)

http://img20.imageshack.us/img20/3314/questiontsy.jpg [Broken]

2. Relevant equations

Cumulative Distribution Function

3. The attempt at a solution

Integrate f(x) to get the distribution function:

F(X) =

- 0, x ≤ -1
- x[tex]^{2}[/tex]/2 + x, -1 < x ≤ 0
- x - x[tex]^{2}[/tex]/2, 0 < x ≤ 1
- 0, x > 1

The actual answer is

http://img297.imageshack.us/img297/426/answer.jpg [Broken]

I understand that the equation must be integrated to get the distribution function, but where do the constants (1/2) come from and how are they calculated?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Determining the distribution function F(x): Statistics/Probability

**Physics Forums | Science Articles, Homework Help, Discussion**