Question

1. Assume that X and Y are independent with X ~ Exp(2) and Y ~ Exp(1). Find the probability that the roots of the equation h(t) = 0 are real, where

   h(t)=t ^2 +2tX+Y. 

Comments

Rod I'll be right back. Give me 15 minutes and I will add more questions.

Answer 1

We can save ourselves the trouble of dividing by 22 by finding the area of the region below y=x2y=x2, above the xx-axis, from x=0x=0 to x=1x=1.