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## Homework Statement

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

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

## Homework Equations

Cumulative Distribution Function

## 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?

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