Prove that the mean and variance of the Poisson distribution during an interval t equal t, where

Question:

Prove that the mean and variance of the Poisson distribution during an interval t equal λt, where λ is the arrival rate.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Operations Research An Introduction

ISBN: 9780137625727

11th Edition

Authors: Hamdy A. Taha

See More Books

Question Posted: Feb 27, 2023 04:39 AM

See More Questions

Using Theorem 2.6.3, show that the mean and variance of the Poisson distribution, with parameter , is equal to .
Show that the mean and variance of a uniform random variable x, a x b, are E{x} var {x} = b + a 2 (b - a)2 12
The mean and variance of a finite population {a 1 , . . ., a N } are defined by For a finite population, show that the sample variance S 2 is a biased estimator of 2 . and o a, and =1 i=1
How does the winner of a lawsuit enforce the judgment?
What is a niche market?
For a multi-electron atom, with total angular momentum $L>1$ and total spin 1, what are the possible values of the Land $g$ factor? Specialize to the classical limit of large $L$.
It is said that "the higher the MARR, the higher the price that a company should be willing to pay for equipment that reduces annual operating expenses." Explain the reasoning behind this statement.
PLE collects a variety of data from special studies, many of which are related to the quality of its products. The company collects data about functional test performance of its mowers after...
An aluminum cylinder is removed from a liquid nitrogen bath (below freezing point of water). The cylinder is immediately placed in an insulated cup containing 0.0800 kg of water at 15.0 C. The heat...
The makers of Skittles claim that 20% of Skittles candies are orange. Suppose this claim is true. You select a random sample of 30 Skittles from a large bag. Let p = the proportion of orange Skittles...
Each morning, the refrigerator in a small machine shop is stocked with two cases (24 cans per case) of soft drinks for use by the shops 10 employees. The employees can quench their thirst at any time...
Prove that the mean and standard deviation of the exponential distribution are equal.
Brown & Co. issued seven-year bonds two years ago that can be called aft er two years. The bonds make semiannual coupon payments at a coupon rate of 7.875 percent. Each bond has a market value of...
To properly assess a companys past performance, an analyst requires: A. high earnings quality. B. high financial reporting quality. C. both high earnings quality and high financial reporting quality.
On 30 April 2006, Pinto Products received a cash payment of $30,000 as a deposit on production of a custom machine to be delivered in August 2006. Th is transaction would most likely result in which...
Which of the following statements about desirable attributes of accounting standards boards is most accurate? Accounting standards boards should: A. concede to political pressures. B. be guided by a...
To compute tangible book value, an analyst would A. add goodwill to stockholders equity. B. add all intangible assets to stockholders equity. C. subtract all intangible assets from stockholders...
Zimt AG uses the FIFO method, and Nutmeg Inc. uses the LIFO method. Compared to the cost of replacing the inventory, during periods of rising prices the ending inventory balance reported by: A. Zimt...
Select three table values from Table 14 - 1 and verify them using the formula FV = (1+ R}N 1 R
Repeat Exercise 16.6 using the t-test of the coefficient of correlation. Is this result identical to the one you produced in Exercise 16.6?
Describe the communication process.
Describe the possible directions that formal communication can take in an organization and provide examples of each.
Compare and contrast oral, written, and nonverbal communication.
What is business writing? How do you make constructive recommendations that will be accepted and not shunned by the organization's leadership? Cite your sources.
Explain risk aversion and its implications for portfolio selection .
Recently, there has been a resurgence in labor union organization and a subsequent increase in union membership across the United States. What can today's labor unions learn from their past 140-year...

Prove that the mean and variance of the Poisson distribution during an interval t equal t, where

Question:

Step by Step Answer:

at eit n tetet ht 00 Ent n n1 En t n n t ...View the full answer

Operations Research An Introduction

Students also viewed these Business questions