# Question: Suppose that A B C are independent random variables each

Suppose that A, B, C, are independent random variables, each being uniformly distributed over (0, 1).

(a) What is the joint cumulative distribution function of A, B, C?

(b) What is the probability that all of the roots of the equation Ax2 + Bx + C = 0 are real?

(a) What is the joint cumulative distribution function of A, B, C?

(b) What is the probability that all of the roots of the equation Ax2 + Bx + C = 0 are real?

## Relevant Questions

If X1 and X2 are independent exponential random variables with respective parameters λ1 and λ2, find the distribution of Z = X1/X2. Also compute P{X1 < X2}. According to the U.S. National Center for Health Statistics, 25.2 percent of males and 23.6 percent of females never eat breakfast. Suppose that random samples of 200 men and 200 women are chosen. Approximate the probability ...The joint density function of X and Y is given by f (x, y) = xe−x(y+1) x > 0, y > 0 (a) Find the conditional density of X, given Y = y, and that of Y, given X = x. (b) Find the density function of Z = XY. Derive the distribution of the range of a sample of size 2 from a distribution having density function f(x) = 2x, 0 < x < 1. The joint probability density function of X and Y is given by f (x, y) = 6/7(x2 + xy/2) 0 < x < 1, 0 < y < 2 (a) Compute the density function of X. (b) Find P{X > Y}. (c) Find P{Y > 1/2|X < 1/2}.Post your question