Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jan 03, 2020

Using moment generating function, show that if X and Y both follow Geometric distribution with parameter p, X+Y follows a negative binomial distribution. Assume

Using moment generating function, show that if X and Y both follow Geometric distribution with parameter p, X+Y follows a negative binomial distribution. Assume that X and Y are independent.

Step by Step Solution

★★★★★

3.43 Rating (150 Votes )

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

Recommended Textbook for

An Introduction to Measure Theoretic Probability

Authors: George G. Roussas

2nd edition

128000422, 978-0128000427

More Books

Students also viewed these Mathematics questions

Question

★★★★★

Show that, if X and Y are random variables taking on only two values each, and if E(XY ) = E(X)E(Y ), then X and Y are independent.

Answered: 1 week ago

Question

★★★★★

Show that, if X and Y are random variables taking on only two values each, and if E(XY ) = E(X)E(Y ), then X and Y are independent. Discuss.

Answered: 1 week ago

Question

★★★★★

If X and Y are any two random variables, then the covariance of X and Y is defined by Cov(X, Y) = E ((X E(X))(Y E(Y ))). Note that Cov(X, X) = V (X). Show that, if X and Y are independent, then...

Answered: 1 week ago

Question

★★★★★

Which of the following activity bases would best be used to allocate setup activity to products? a. Number of inspections b. Direct labor hours c. Direct machine hours d. Number of production runs

Answered: 1 week ago

Question

★★★★★

What are value-added activities value-added costs?

Answered: 1 week ago

Question

★★★★★

Identify issues and methods associated with developing the organization as a whole, new employees, and existing employees. AppendixLO1

Answered: 1 week ago

Question

★★★★★

Is the sample selected related to the target population?

Answered: 1 week ago

Question

★★★★★

Schmidt, operating a sole proprietorship, has a large piece of used farm equipment for sale. He offers to sell the equipment to Barry for $10,000. Discuss the legal effects of the following events on...

Answered: 1 week ago

Question

★★★★★

rIGUKE 2 . 8 QUESTION 1 5 1 . Convert the nfa defined in Example 2 . 7 into an equivalent dfa. Write down all the transitions of both the DFA and NFA without drawing the diagram of the DFA. The...

Answered: 1 week ago

Question

★★★★★

You are a lead auditor from ABC Auditors Pty Ltd. Your client is Cassey's Quality Cars Ltd who are a large car dealership with branches across Queensland. ABC Auditors have performed audits for past...

Answered: 1 week ago

Question

★★★★★

The following selected transactions relate to contingencies of Classical Tool Makers, Inc. which began operations in July 2021 Classical's fiscal year ends on December 31 Financial statements are...

Answered: 1 week ago

Question

★★★★★

QUESTION 5 Explain how the sentiment analysis could be used by Spar (South African supermarket) to improve customer service quality. Include the following: a. explain the nature and importance of...

Answered: 1 week ago

Question

★★★★★

You and your friend want to start a company that sells pancakes. Your friend can make 1 pancake in 1 minute and process a payment in 2 minutes. You take 4 minutes for 1 pancake and 2 minutes for the...

Answered: 1 week ago

Question

★★★★★

Consider a source computer (S) transmitting a packet of size 15000 bits to a destination computer (D) over a network of two routers (R1 and R2) and three links (L1, L2 and L3). L1 connects S to R1;L2...

Answered: 1 week ago

Question

★★★★★

Modify the Horizontal (Value) Axis so that Maximum bound is 11000. Keep the Format Axis task pane displayed

Answered: 1 week ago

Question

★★★★★

23 'I' The average student Loan debt for college graduates is $25,950. Suppose that that distribution is normal and that the standard deviation is $13,550. Let X = the student loan debt of a randomly...

Answered: 1 week ago

Question

★★★★★

Having a hard time figuring out the equation? I know it's pretty direct but I'm receiving errors? 11 of 11 14. Now we need to initialize the variables that were created in the step 13. 15. Now we...

Answered: 1 week ago

Question

★★★★★

What is the difference between the straight-line method of depreciation and the written down value method? Which method is more appropriate for reporting earnings?

Answered: 1 week ago

Question

★★★★★

Regarding the converse stated in Exercise 6, if the events A n ,n 1, are not independent, then P(lim sup n A n ) = 0 need not imply that . Give one or two concrete examples to demonstrate this...

Answered: 1 week ago

Question

★★★★★

Let X n , n 1, be r.v.s defined on the measure space (W, A, P), and suppose that Then show that E P(|X| > n) Answered: 1 week ago

Answered: 1 week ago

Question

★★★★★

(i) In reference to Exercise 12 and 13, and by writing (XY) = [(XY)|X], show that (XY) = (1(2 + ((1(2. (ii) Use the definition of the conversance of two r.v.s X and Y (with finite second moments),...

Answered: 1 week ago

Question

★★★★★

21. What are the two kinds of stroke, and what causes each kindpg105

Answered: 1 week ago

Question

★★★★★

1. Which develops first, a neurons axon or its dendritespg105

Answered: 1 week ago

Question

★★★★★

16. What change in the brain is responsible for musicians cramppg105

Answered: 1 week ago

Previous Question Next Question