Generating a Random Variable with a Specific Distribution Function

[twoski]

Homework Statement

Give a method for generating a random variable with distribution function

F(x) = 1/2$(x+x^{2})$

0<x<1

The Attempt at a Solution

From what i can tell i am supposed to do something like:

Let U be a uniformly distributed random variable over (0,1).

U = 1/2$(x+x^{2})$

2U = $x+x^{2}$

Am i on the right track?

 

[Ray Vickson]

Homework Statement

Give a method for generating a random variable with distribution function

F(x) = 1/2$(x+x^{2})$

0<x<1

The Attempt at a Solution

From what i can tell i am supposed to do something like:

Let U be a uniformly distributed random variable over (0,1).

U = 1/2$(x+x^{2})$

2U = $x+x^{2}$

Am i on the right track?

You can answer that for yourself. Does your method match something in your course notes or textbook or in a web page?