Let N(t) be a Poisson process with rate . Let 0 < s < t. Show that
Question:
Let N(t) be a Poisson process with rate λ. Let 0 < s < t. Show that given N(t) = n, N(s) is a binomial random variable with parameters n and p = s/t.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
To show that given Nt n Ns is a binomial random variable with parameters n and p st we can use the properties of Poisson processes and the definition ...View the full answer
Answered By
Benish Ahmad
I'm a professional software engineer. I'm lectutrer at GCUF and I have 3 years of teaching experience. I'm looking forward to getting mostly computer science work including:
Programming fundamentals
Object oriented programming
Data structures
object oriented design and analysis
Database system
Computer networks
Discrete mathematics
Web application
I am expert in different computer languages such as C++, java, JavaScript, Sql, CSS, Python and C#. I'm also have excellent knowledge of essay writing and research. I have worked in other Freelancing website such as Fiverr and Upwork. Now I have finally decided to join the SolutionInn platform to continue with my explicit work of helping dear clients and students to achieve their academic dreams. I deliver plagiarism free work and exceptional projects on time. I am capable of working under high pressure.
5.00+
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
-
Consider the predator-prey model with all the same assumptions of the simple model explored in lab, except that the prey reproduction follows a logistic model instead of an exponential. The model...
-
Let {N(t), t [0,)} be a Poisson process with rate . Show the following: given that N(t) = n, the n arrival times have the same joint CDF as the order statistics of n independent Uniform(0, t) random...
-
On the Milan bourse, Fiat stock closed at EUR11.17per share on Tuesday, August 19, 2002.Fiat trades as an ADR on the NYSE. One underlying Fiat share equals one ADR. On August 19, the $/EUR spot...
-
Write the C++ code for a function that receives an integer, a double number, and the address of a double variable from the calling statement. The function should multiply the integer by the double...
-
Does it matter that ICANNs leadership is chosen by those with a commercial interest in the Internet? The Internet Corporation for Assigned Names and Numbers (ICANN) is a nonprofit entity organizing...
-
The steel beam has the cross sectional area shown. Determine the largest intensity of distributed load w that it can support so that the bending stress does not exceed max = 22 ksi. 8 ft- 8 ft W -8...
-
Show that the real component of the harmonic response of a viscously damped single-degreeof-freedom system (from \(X\) in Eq. (3.54)) attains a maximum at...
-
The 2011 annual report of Wal-Mart, a major retailing company, listed the following property and equipment ($ in millions): Property and equipment, at cost . $148,584 Less: Accumulated depreciation ....
-
What are the implications of diverse workforce demographics, spanning generational cohorts and cultural backgrounds, on the conceptualization and measurement of organizational commitment across...
-
A 95% confidence interval for the proportion of viewers of a certain reality television show who are over 30 is (0.26, 0.35). Suppose the show's producers want to test the hypothesis Ho P = 0.25...
-
Let X n be a discrete-time Markov chain. Remember that, by definition, p (n) ii = P(X n = i|X 0 = i). Show that state i is recurrent if and only if () Pu = . n=1
-
Suppose that the number of customers visiting a fast food restaurant in a given time interval I is N Poisson(). Assume that each customer purchases a drink with probability p, independently from...
-
The transaction, "earned cash revenue" affects which two accounts? A. Revenue and Salaries Expense B. Cash and Notes Payable C. Cash and Revenue D. Cash and Dividends
-
Discuss the general principles / ideas that involve the measurement and management of translation / accounting exposure.
-
In March 1868, an entrepreneur issued $1000 bonds (to pay for an access road in the city). The bonds carried a 6% annual interest rate payable semiannually. The entrepreneur paid the interest until...
-
Define NPV, IRR, MIRR, PI, and Payback. What do these help mangers to do? Which of these do you prefer, why do you say this? Which is the worst method? Why do you say this? What is Capital Rationing?
-
Cody is in college. How do you think his Statement of Financial Position will change after he graduates from college? Identify at least two specific changes.
-
Why do you think investors need to know operating income when they have net income? What is the most significant information that your Income Statement is providing you in general and more...
-
A 6 percent convertible bond (maturing in 20 years) is convertible into 25 shares of the companys common stock. The bond has a par value of $1,000 and is currently trading at $800; the stock (which...
-
10m solution. If Ka(HA) = 10 then pOH of solution will be [Given : log4=0.6] (A) 6.7 (B) Greater than 6.7 & less than 7.0 (C) Greater 7.0 & less than 7.3 (D) Greater than 7.3
-
At the close of business on May 31, 2017, Alaska Corporation exchanges $2 million of its voting common stock for all the noncash assets of Tennessee Corporation. Tennessee uses its cash to pay off...
-
Ruby Corporation has 100 shares of common stock outstanding. Fred, a shareholder of Ruby, exchanges his 25% interest in the Ruby stock for Garnet Corporation stock and securities. Ruby purchased 80%...
-
Murray Corporations stock is owned by about 1,000 shareholders, none of whom own more than 1% of the outstanding shares. Pursuant to a tender offer, Said purchased all the Murray stock for $7.5...
-
A bit-wise operation is defined as below: LDR r0, =0x000000C8 LDR r1, =0x00000038 AND r2, r0, r1 What is r2 value after AND operation is executed?
-
27. The anticodons are located in a. tRNA. b. rRNA. c. mRNA. d. ribosomes. 28. Binary fission is a form of reproduction used by a. viruses. b. bacteria. c. fungi. d. helminths. 29. In which phase of...
-
24. The compound that enters the Krebs cycle and combines with oxaloacetic acid is a. citric acid. b. pyruvic acid. c. acetyl-CoA. d. phosphoglyceraldehyde. 25. Formic acid is a fermentation product...
Study smarter with the SolutionInn App