This preview shows page 1. Sign up to view the full content.
Unformatted text preview: follows
a Poisson process with rate 4. Suppose that 3/4’s of the calls are made by men,
1/4 by women, and the sex of the caller is independent of the time of the call.
(a) What is the probability that in one hour exactly 2 men and 3 women will
call the answering service? (b) What is the probability 3 men will make phone
calls before 3 women do?
2.61. Hockey teams 1 and 2 score goals at times of Poisson processes with rates
1 and 2. Suppose that N1 (0) = 3 and N2 (0) = 1. (a) What is the probability
that N1 (t) will reach 5 before N2 (t) does? (b) Answer part (a) for Poisson
processes with rates 1 and 2 .
2.62. Consider two independent Poisson processes N1 (t) and N2 (t) with rates
1 and 2 . What is the probability that the two-dimensional process (N1 (t), N2 (t))
ever visits the point (i, j )? 100 CHAPTER 2. POISSON PROCESSES Chapter 3 Renewal Processes
3.1 Laws of Large Numbers In the Poisson process the times between successive arrivals are independent
and exponentially distributed. The lack of mem...
View Full Document
This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
- Spring '10
- The Land