1.) At an intersection, accidents occur at a rate of 2.5 per month, and the time between accidents is EXPONENTIALLY DISTRIBUTED. Let T be the waiting time random variable from the beginning of an...

Extracted text: 1.) At an intersection, accidents occur at a rate of 2.5 per month, and the time between accidents is EXPONENTIALLY DISTRIBUTED. Let T be the waiting time random variable from the beginning of an observation until the third accident. Find the E[T] and Var[T]. 2.) Let (X,Y) have the joint density function f(x,y) = { (6/5) (1+x+y) for Osx, ys1, x+y<1 %3d="" otherwise="" }="" (a)="" find="" p="" [x="">Y] (b) Find Fxy(x,y)