Use the convolution formula, Theorem 6.9, to obtain the density of (X+Y) when (X) and (Y) are
Question:
Use the convolution formula, Theorem 6.9, to obtain the density of \(X+Y\) when \(X\) and \(Y\) are independent and each has the exponential distribution with \(\beta=1\).
Data From Theorem 6.9
Transcribed Image Text:
Theorem 6.9 Let X and Y be independent and let X have density fx(x) and Y have density fy (y). Then the density of Z = X + Y is given by the convolution formula fx+y(z) = fx(x)fy(z - x) dx for all z The ratio of random variables Z = Y/X has density |x| fy/x(z) = | | x | x(x)fy(xz) dx for all z
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
Ali Khawaja
my expertise are as follows: financial accounting : - journal entries - financial statements including balance sheet, profit & loss account, cash flow statement & statement of changes in equity -consolidated statement of financial position. -ratio analysis -depreciation methods -accounting concepts -understanding and application of all international financial reporting standards (ifrs) -international accounting standards (ias) -etc business analysis : -business strategy -strategic choices -business processes -e-business -e-marketing -project management -finance -hrm financial management : -project appraisal -capital budgeting -net present value (npv) -internal rate of return (irr) -net present value(npv) -payback period -strategic position -strategic choices -information technology -project management -finance -human resource management auditing: -internal audit -external audit -substantive procedures -analytic procedures -designing and assessment of internal controls -developing the flow charts & data flow diagrams -audit reports -engagement letter -materiality economics: -micro -macro -game theory -econometric -mathematical application in economics -empirical macroeconomics -international trade -international political economy -monetary theory and policy -public economics ,business law, and all regarding commerce
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Probability And Statistics For Engineers
ISBN: 9780134435688
9th Global Edition
Authors: Richard Johnson, Irwin Miller, John Freund
Question Posted:
Students also viewed these Business questions
-
MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...
-
answer all questions as instructed below. make sure you have attended all questions .Comparative Architectures (a) Describe the organisation of a two-level branch predictor that makes use of a global...
-
PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
-
Certain environmental laws prohibit EPA from considering the costs of meeting various standards when the levels of the standards are set. Is this a good example of putting first things first or...
-
Tonya Latirno is a certified public accountant (CPA) and staff accountant for Kennedy and Kennedy, a local CPA firm. It had been the policy of the firm to provide a holiday bonus equal to two weeks'...
-
Explain the lags in monetary policy. Is there a way to reduce any of these lags? Explain.
-
(FV single cash flow, finding r) Five years ago you made a deposit of $50. The value of this deposit today is $70.13. What was the annual return earned on the deposit? a. Use the template in this...
-
Nature Hill Middle School wants to raise money for a new sound system for its auditorium. The primary fund-raising event is a dance at which the famous disc jockey Jay Dee will play classic and...
-
Outdoor Luggage, Incorporated, makes high - end hard - sided luggage for sports equipment. Data concerning three of the company's most popular models appear below. Required: If we assume that the...
-
Use the transformation method, Theorem 6.9, to obtain the distribution of the ratio \(Y / X\) when when \(X\) and \(Y\) are independent and each has the same gamma distribution. Data From Theorem 6.9...
-
Use the transformation method to obtain the distribution of \(-\ln (X)\) when \(X\) has the uniform distribution on \((0,1)\).
-
The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the function Q = 900L 12 K 23 . Labor costs $100 per unit and capital...
-
14A. If a coolant hose is deteriorating what could happen? 14B. If one radiator hose is defective and needs replacing what should be done with the other hoses? 14C. Explain the following hose...
-
The Mini-DV Tape Production Company is facing decreased sales due to the continual trend toward the use of flash storage devices to capture videos. Based on the most recent long-term earnings...
-
1. What is the nature of the industry and the business? 2. What are the major customer groups that the Bank has chosen to focus on? 3. Determine the impact of the Bank's business strategy on its...
-
RentitAll Management Services is considering an investment of $60,000. Data related to the investment are as follows: 1 Year Cash Flow $20,000 2 24,000 3 30,000 4 40,000 5 20,000 Cost of capital is...
-
Problem 11: A company has 10 work cells like the one described in problem 10. Because of increased demand, another cell must be added, but there is no factory floor space. What manufacturing-space...
-
What is the relation between the variance and the standard deviation?
-
During the month, services performed for customers on account amounted to $7,500 and collections from customers in payment of their accounts totaled $6,000. At the end of the month, the Accounts...
-
The following data have been recorded for recently completed Job 4 5 0 on its job cost sheet. Direct materials cost was $ 2 , 1 0 2 . A total of 4 1 direct labor - hours and 1 9 7 machine - hours...
-
Using the Sensitivity Report from the Quality Air Conditioning problem, answer the questions below: Table 1 : Sensitivity Report Variable Cells \ table [ [ Cell , Name, \ table [ [ Final ] , [ Value...
-
1 7 1 point Courses 1 Financial statements are prepared after an entity's transactions are analyzed and recorded. Which of the following reports is NOT one of the required financial statements?...
Study smarter with the SolutionInn App