Question
Particles enter a chamber through two openings at the left as shown in the figure. Arrival process at each opening is Poisson with intensity =
Particles enter a chamber through two openings at the left as shown in the figure. Arrival process at each opening is Poisson with intensity = 2 per unit time. Particles move with constant velocity v = 5 millimeters per unit time in the chamber and exit at the opening at the right. The length of the chamber is 100 millimeters. Once in the chamber, each particle has a lifetime that is exponentially distributed with parameter = 0.1. At the end of its lifetime, the particle decays into pure energy. Let X(t) be the departure process of the particles at the right opening of the chamber.
(a) Show that X(t) is Poisson
(b) Find the intensity of the process X(t).
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started