Show that, if G(z) is the g.f. of a r.v. X, then G(1) = E{X(X 1)}. How

Question:

Show that, if G(z) is the g.f. of a r.v. X, then G″(1) = E{X(X −1)}. How to find Var{X} using the g.f. G(z)? Do that for the second version of the geometric distribution.

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

Step by Step Answer:

Related Book For book-img-for-question

Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

See More Books

Question Posted: Jan 05, 2024 01:00 PM

See More Questions

The adjusted trail balance of your lemonade shop is provided below for reference as you complete the closing process. Account Cash Inventory Prepaid Insurance Supplies Refrigerator Cash Register...
How do ethical considerations inform decision-making processes during conflict resolution, and what ethical frameworks might guide such deliberations?
Show that if G = (V, E) is a directed graph, and then the strong components of two vertices u and v of V are either the same or disjoint.
Taft Corporation operates primarily in the United States. However, a few years ago it opened a plant in Spain to produce merchandise to sell there. This foreign operation has been so successful that...
The amino acid threonine, (2S, 3R)-2-amino-3-hydroxybutanoic acid, has two chirality centers. (a) Draw a Fischer projection of threonine. (b) Draw a Fischer projection of a threonine diastereomer,...
Layton Ironworks manufactures a variety of industrial valves and pipe fittings sold primarily to customers in the United States. Currently, the company is operating at 70 percent of capacity and is...
Explain in a sentence or two how you would describe entrepreneurial practice. LO.1
1. Does Clark have any sources of power and any contingencies of power? If so, list and discuss them. 2. To what degree were Clarks methods of influencing board members the most effective possible...
Question repo On January 3, 2010 On Time Delivery Service purchased a truck at a cost of 575.000. Before placing the truck in service On Time spent 2.200 painting I5800 replacing thes and 10:00 ving...
Find the g.f. of the first version of the negative binomial distribution using (3.2.1.11).
Find the mean and variance of the binomial distributions using g.f.s.
From the following inventory records of Bornhauser Corporation for $19 \mathrm{X} 7$, prepare the company's income statement through gross margin. Apply the lower-of-cost-or-market rule. Beginning...
Which one of the following therapists' approaches has been integrated into several other therapies in the West? 1. Naikan therapy 2. Morita therapy 3. mindfulness meditation
What does this scatter plot tell us? Check ALL below that are true from the Scatter Plot. Y is cumulative total barrels and x is number of active wells. 1. If there were 550 active wells, we would...
Millie runs a small company that makes customised notebooks with personalised details on the cover and inserts. You promote your product as a great gift idea, and your holiday orders break your...
Excel ACC 311 Project Two Workbook Template - View-only Search (Alt + Q) File Home Insert Draw Page Layout Formulas Data Review View Help 12 B A ... ab Ev F10 1 2 3 4 5 6 fx A B Posey's Pet Emporium...
Imagine that you are the change manager for acompany that does business entirely via the Internet. The head development engineercalls to indicate he wants to make a small change to one of the...
The following diagrams represent aqueous solutions of two monoprotic acids, HA (A = X or Y). The water molecules have been omitted for clarity. (a) Which is the stronger acid, HX or HY? (b)Which is...
What are the six activities involved in the physical supply/distribution system?
Would consumers be better off if all nations dropped their antidumping laws? Explain your thinking.
How would our marketing system change if manufacturers were required to set fixed prices on all products sold at retail and all retailers were required to use these prices? Would a manufacturers...
Is price discrimination involved if a large oil company sells gasoline to taxicab associations for resale to individual taxicab operators for 2 cents a gallon less than the price charged to retail...
Cash from Operating Activities: ______________ Cash from Investing Activities: ______________ Cash from Financing Activities: ______________ Problem 2: Financial Ratios The GAP Macys 1 Current Ratio...
On January 1, 2021, Winky Enterprises issued 12% bonds dated January 1, 2021, with a face amount of $2,800,000. The bonds mature in 2030 (10 years). For bonds of similar risk and maturity, the market...
Using the following accounts and balances, prepare the stockholders' equity vection of the balance sheet. Pilty thousand shares of common stock are authorised, and 1,000 shares have been recoured,...

Show that, if G(z) is the g.f. of a r.v. X, then G(1) = E{X(X 1)}. How

Question:

Step by Step Answer:

Since Gx z Ez we have G z E EXX1 and hence G1EXX1 Consequently VarX EXX...View the full answer

Probability And Stochastic Modeling

Students also viewed these Business questions