Suppose that the joint PDF of X and Y is f(x,y) = 2e-x-y for 0 < y

Question:

Suppose that the joint PDF of X and Y is f(x,y) = 2e-x-y for 0 < y < x < ∞, and f(x, y) = 0 otherwise.
a. Find fx(X), the density of X.
b. Find fy(Y), the density of Y.

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

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

See More Books

Question Posted: Mar 14, 2016 06:37 AM

See More Questions

Suppose that the joint p.d.f. of X and Y is as follows: a. Determine the marginal p.d.f.s of X and Y. b. Are X and Y independent? for 0-YS 1-2, Tr 0 otherwise. f(x, y) =
An ecologist wishes to select a point inside a circular sampling region according to a uniform distribution (in practice this could be done by first selecting a direction and then a distance from the...
A health-food store stocks two different brands of a certain type of grain. Let X = the amount (lb) of brand A on hand and Y = the amount of brand B on hand. Suppose the joint pdf of X and Y is a....
Compare and contrast megaloblastic anemia caused by vitamin B12 deficiency and that caused by folic acid deficiency. (10)
You are evaluating ways to expand an optometry practice and its earnings capacity. Optometrists perform eye exams, prescribe corrective lenses (eyeglasses and contact lenses), and sell corrective...
The efficiency of a gas chromatography column is measured by a parameter called plate height (H, mm) which is related to the gas flow rate (u, mL/min) by the van Deemter equation: H = A + B/u + Cu,...
In what way does planning control the future? LO.1
1. Golfers who take lessons and purchase other services from the Annika Academy presumably share at least some of Sorenstams passion for winning. Would toning down the competitive aspect of...
Determine the events are independent or dependent then determine if the events are destroyed or not destroyed and individual traveled out to stay on Thanksgiving and individual stayed home all day on...
Carter Enterprises is involved in the soybean business in South Carolina, Alabama, and Georgia. The president of the company, Earl Carter, goes to a commodity sale once a month where he buys and...
Consider X, Y with joint density fX,Y (x,y) = 1/4 for x2 + y2 4, and fX,Y (x,y) = 0 otherwise. Find the probability that (X, Y) is at most 1 unit from the origin and is located in the first...
Let X, Y have joint density Find P(X > Y) 14e-2-7v if z > 0 and y > 0. otherwise. 14e 2if0 and y > 0,
Describe the legal structure of a hedge fund.
For the data in Problem 42, how would you predict demand for medical kits using (a) moving averages and (b) exponential smoothing (with alpha values equal to 0.5 and greater) for the 21st week? Data...
For a light ray that crosses the interface between medium 1 having index of refraction $n_{1}$ and medium 2 having index of refraction $n_{2}$, what relationship between $\theta_{1}$ and...
The atmosphere of the planet Venus is almost entirely composed of carbon dioxide (about 96.5 % carbon dioxide). The carbon dioxide on Venus might be in equilibrium with carbonate ions in minerals on...
Seniority quantum numbers typically measure how many fermions are in some sense "not paired" with another fermion. For the quasispin model of Problem 31.3 , define the Racah seniority $v$ through...
(a) Place a perfectly conducting sphere with radius a in a uniform electric field E 0 and let an origin centered electric dipole field represent the field produced by the sphere. Use this information...
Interflora is a flower delivery network that allows you to call one florist and get flowers delivered by another in the network. They have agreed flower ranges and set processes, which are methods of...
A researcher reports a significant two-way between-subjects ANOVA, F(3, 40) = 2.96. State the decision to retain or reject the null hypothesis for this test.
How should a hotel manage lost or found items? LO1
A criminologist studying criminal offenders who have a record of one or more arrests is interested in knowing whether the educational achievement level of the offender influences the frequency of...
A department store manager claims that her store has twice as many customers on Fridays and Saturdays than on any other day of the week (the store is closed on Sundays). That is, the probability that...
A freeway with four lanes in each direction was studied to see whether drivers prefer to drive on the inside lanes. A total of 1000 automobiles were observed during heavy earl morning traffic, and...
Los siguientes datos corresponden a las operaciones de Turk Company el ao pasado: Ventas $ 900 000 Utilidad operativa neta $ 36 000 Margen de contribucin $ 150 000 Activos operativos promedio $ 180...
Problem 16-16 Tax Shields (LO2) River Cruises is all-equity-financed with 53,000 shares. It now proposes to issue $280,000 of debt at an interest rate of 12% and to use the proceeds to repurchase...
In a process costing system, companies use predetermined overhead rates to apply overhead

Suppose that the joint PDF of X and Y is f(x,y) = 2e-x-y for 0 < y

Question:

Step by Step Answer:

a frx2dy ...View the full answer

Introduction to Probability

Students also viewed these Statistics questions