Let X and Y be two independent random variables having identical gamma distributions. (a) Find the joint
Question:
(a) Find the joint probability density of the random variables U = X / X + Y and V = X + Y.
(b) Find and identify the marginal density of U.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (14 reviews)
a u x y and v x y For 0 ...View the full answer
Answered By
Charles mwangi
I am a postgraduate in chemistry (Industrial chemistry with management),with writing experience for more than 3 years.I have specialized in content development,questions,term papers and assignments.Majoring in chemistry,information science,management,human resource management,accounting,business law,marketing,psychology,excl expert ,education and engineering.I have tutored in other different platforms where my DNA includes three key aspects i.e,quality papers,timely and free from any academic malpractices.I frequently engage clients in each and every step to ensure quality service delivery.This is to ensure sustainability of the tutoring aspects as well as the credibility of the platform.
4.30+
2+ Reviews
10+ Question Solved
Related Book For
John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
Question Posted:
Students also viewed these Statistics questions
-
Let X and Y be two independent random variables. Given the marginal pdfs indicated below, find the cdf of Y/X. (a) fX(x) = 1, 0 x 1, and fY(y) = 1, 0 y 1 (b) fX(x) = 2x, 0 x 1, and fY(y) = 2y,...
-
Let X and Y be two independent random variables, whose marginal pdfs are given below. Find the pdf of X + Y. (Consider two cases, 0 w < 1 and 1 w 2.) fX(x) = 1, 0 x 1, and fY(y) = 1, 0 y 1
-
Let X and Y be two independent random variables, each normally distributed, with parameters (1, 12) and (2, 22), respectively. Show that the probability density function of U = X / Y is given by...
-
Calculate the dollar proceeds from the FIs loan portfolio at the end of the year, the return on the FIs loan portfolio, and the net interest margin for the FI if the spot foreign exchange rate has...
-
Find the normal approximation for the binomial probability P(x = 6), where n = 12 and p = 0.6. Compare this to the value of P(x = 6) obtained from Table 2.
-
Use the Integral Test to determine whether the infinite series converges. 00 n=1 n 3 + 1
-
If you were an employee or executive with stock options, would you press Mr. Abernathy to take the medication? Why or why not?
-
Lyle Company maintains a petty cash fund for small expenditures. These transactions occurred during the month of August. Aug. 1 Established the petty cash fund by writing a check on Westown Bank for...
-
Briana purchased a corporate bond and with it she received a document that stated the bond's value and its maturity date. What did Briana receive?
-
List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
-
Let X and Y be two continuous random variables having the joint probability density Find the joint probability density of Z = X + Y and W = X. 24ry or 0
-
On page 215 we indicated that the method of transformation based on Theorem 7.1 can be generalized so that it applies also to random variables that are functions of two or more random variables. So...
-
Find the VaR for the stocks in Problem 9 by the historical method. For their price histories, use the GBM model to generate 2 months worth of prices for the equities. Only treat the = 0.2 case. Data...
-
Arlington Inc.'s income statement showed Net Income of $57,600 and Depreciation Expense of $9,200. Accounts Receivable increased $3,750, Inventory increased $3,200, Supplies decreased $500, Accounts...
-
A subscription service has a monthly customer profit margin of $300, monthly retention rate of 90% and a monthly discount rate of 5%. It also spends $25 per month on each customer for retention. What...
-
Checkpoint 2 - Advanced Caesar Cipher When encrypted, each letter in the message steps forward multiple letters in the alphabet (A encrypted by five becomes F). When decrypted, each letter in the...
-
Explain what you think would happen if there was error in Mitosis?
-
A certain integrated circuit (IC) represented by the triangular symbol below has a maximum operating voltage of VIC = 5 V before damage is likely to occur. 04 R + 7.2 V+ R2 VIC Integrated Circuit -...
-
(a) Show that if A has size n n, then det(A) = (1) n detA. (b) Prove that, for n odd, any n n skew-symmetric matrix A = A T is singular. (c) Find a nonsingular skew-symmetric matrix.
-
9.Consider the reaction 3NO2(g)+H2O=2HNO3(aq)+NO(g) where Delta H=-137 kJ.How many kilojoules are released when 92.3g of NO2 reacts?
-
Find the value of combination. 30C4
-
Suppose Dan is going to burn a compact disc (CD) that will contain 12 songs. In how many ways can Dan arrange the 12 songs on the CD?
-
Arranging Students In how many ways can 15 students be lined up?
-
Complete the blank lines. Enter the dollar amounts for all line items. Enter the percentages of sales for Sales, Total variable expenses, and Contribution margin. 15% Commission 20% Commission Own...
-
On 1 January 20X4, Dart Incorporated commenced business operations. The following information is available to you: Earnings (loss) before tax Tax rate (enacted in each year) Depreciation (original...
-
Sebele Creations ( Pty ) Ltd , a semi conductor company, is interested in venturing into e - commerce to expand its customer reach. However, the company is still stuck to the traditional business...
Study smarter with the SolutionInn App