Originally Posted by

**braddy** Hi I have two problems on which I am stuck:

**In a vehicle servicing system, a vehicle arrives and is immediately placed in a service queue. It may be served immediately or it may have to wait in the queue. After waiting in the queue service, it is serviced and leaves immediately after being serviced. Let X be the tatal time, in minutes, the vehicle is in the system, waiting time plus service time. Let Y be the waiting time in the service queue. Assume X and Y are continuous random variable, where their bivariate space is{0<=y<=x and 0<=x}**

**Assume the pdf of X and Y is:**

**-f(x,y)=k*e^(x^2) , 0<=y<=x and 0<=x**

**-0 elsewhere**

**1- Find k.**