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- Feb 14, 2012

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*A*[/FONT], [FONT=MathJax_Math]

*B*[/FONT], [FONT=MathJax_Math]

*C*[/FONT] be random number between [FONT=MathJax_Main]([/FONT][FONT=MathJax_Main]0[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main])[/FONT]. What is the probability that the polynomial Ax^2+Bx+C=0 has no real roots?

I know that this question is a kind of c.r.v problem (uniform distribution). Also, it has something to do with exponential random variables. My problem is, exponential random variable sounds vaguely familiar with me. But I'm sorely tempted to pick it up if someone could shed some light on it.

Like always, I'd be grateful for advice.

Thanks.