Let N 1 (t) and N 2 (t) be two independent Poisson processes with rate 1
Question:
Let N1(t) and N2(t) be two independent Poisson processes with rate λ1 and λ2 respectively. Let N(t) = N1(t) +N2(t) be the merged process. Show that given
We can interpret this result as follows: Any arrival in the merged process belongs to N1(t) with probability
and belongs to N2(t) with probability
independent of other arrivals.
Transcribed Image Text:
N(t) = n, N₁(t) ~ Binomial n₂ λ₁ λ1+12,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
Question Posted:
Students also viewed these Business questions
-
Using the Lambert's strategic profit model forms below, calculate the ROA for each case. Refer to the strategic profit model from your notes to figure out how to make the calculations required. Place...
-
2. Consider a financial market consisting of three risky assets and a risk-free asset. For the risky assets, the vector of expected returns, the variance-covariance matrix, and the inverse...
-
In this problem, you may find it useful to recall the following fact about Poisson random variables. Let X and Y be two independent Poisson random variables, with means ? 1 and ?2, respectively....
-
We are examining a new project. We expect to sell 9,000 units per year at $35 net cash flow apiece for the next 10 years. In other words, the annual operating cash flow is projected to be $35 X 9,000...
-
Describe how the following occurrences should be accounted for based on the fact pattern presented: a. Certain amounts of spoilage and waste are normal in the production system and affect all jobs....
-
You decide to move a heavy file cabinet by sliding it across the floor. You push against the cabinet, but it doesn't budge. Draw a free-body diagram for it.
-
Discuss the place of selling in the marketing mix.
-
The Fields Company has two manufacturing departments, forming and painting. The company uses the weighted-average method of process costing. At the beginning of the month, the forming department has...
-
Bob the Builder and Wendy were partners in their constructionbusiness and were general contractors. They submitted a bid toconstruct a new building for the the city. They includedLumberjack\'s quote...
-
Consider a system that can be in one of two possible states, S = {0, 1}. In particular, suppose that the transition matrix is given by Suppose that the system is in state 0 at time n = 0, i.e., X 0 =...
-
Consider the Markov chain shown in Figure 11.7. a. Find P(X 4 = 3|X 3 = 2). b. Find P(X 3 = 1|X 2 = 1). c. If we know P(X 0 = 1) = 1/3, find P(X 0 = 1,X 1 = 2). d. If we know P(X 0 = 1) = 1/3, find...
-
At what altitude h above the north pole is the weight of an object reduced to one-third of its earth-surface value? Assume a spherical earth of radius R and express h in terms of R.
-
A real-estate group in the federal government cosponsored a data warehouse with the information technology (IT) department. In the formal proposal written by IT, costs were estimated at $800,000, the...
-
Wolfrum Technology (WT) has no debt. Its assets will be worth $444 million in one year if the economy is strong, but only $226 million in one year if the economy is weak. Both events are equally...
-
What are the roles of a project sponsor and the approval committee?
-
Assume the economy consisted of three types of people. 56% are fad followers, 41% are passive investors (they have read this book and so hold the market portfolio), and 3% are informed traders. The...
-
Describe the major phases in the SDLC.
-
Name three industries in which mergers have been prominent.
-
Solve for the equilibria of the following discrete-time dynamical systems Pr pt+1 = Pr+2.0(I-Pr)
-
Without considering the following capital gains and losses, Charlene, who is single, has taxable income of $460,000 and a marginal tax rate of 39.6%. During the year, she sold stock held for nine...
-
In 2012, the Ryan Corporation sold a capital asset and incurred a $40,000 LTCL that was carried forward to subsequent years. That sale was the only sale of a capital asset that Ryan made until 2017,...
-
Betty incurs the following transactions during the current year. Without considering the transactions, her 2017 AGI is $40,000. Analyze the transactions and answer the following questions: On March...
-
(1 point) Consider the following parametric equation. $$ \begin{array}{1} x=20(\cos\theta+\theta \sin\theta)\\\\ y=20(\sin \theta-\theta \cos\theta) \end{array} $$ What is the length of the curve...
-
SungSam, Inc. is designing a new digital camcorder that is projected to have the following per-unit costs to manufacture: Cost Categories Unit Costs Materials costs $ 63 Labor costs $ 24 Overhead...
-
1. Give the general solution to the following two ODES: (a) $$ y^{\prime \prime}+y^{\prime}-y=0 $$ (b) $$ y^{\prime \prime}+\sqrt{2} y^{\prime}+y=0 $$ CS.SD. 137
Study smarter with the SolutionInn App