Probability with random-coefficient quadratic equation

Let A, B, and C be independent random variables, and consider the random-coefficient quadratic equation

What is the probability that the equation has real roots when A, B, and C take on the value 1 with probability and -1 with probability ?

What is the probability that the equation has real roots when A, B, and C a have a distribution?

Embarrassed to ask but...

Quote:

Originally Posted by

**awkward** .

where the region of integration in all the triple integrals is the region where

,

,

, and

.

I am confused with the part that you wrote.

I must be doing the wrong thing. If there A, B, and C are all the same, and given the pdf of a uniform distribution is

for where 1 = 0 and a = 0, won't I just get a probability of one when integrating?? Where do I apply ?