Suppose the joint density function of X and Y is f(x, y) = 2e 6x , for

Question:

Suppose the joint density function of X and

Y is f(x, y) = 2e^−6x, for x > 0, 1 < y < 4.

By noting the form of the joint density and without doing any calculations show that X and Y are independent. Describe their marginal distributions.

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

Step by Step Answer:

Related Book For book-img-for-question

Probability With Applications and R

ISBN: 978-1118241257

1st edition

Authors: Robert P. Dobrow

See More Books

Question Posted: Nov 19, 2018 09:00 AM

See More Questions

If the joint density function of X and Y is given by find the expected value of g(X, y) = x/Y3 +X2Y. ix + 2y), 0
The joint density function of X and Y is (a) Are X and Y independent? (b) Find the density function of X. (c) Find P{X + Y f(x,y)=Ix 0 < x < 1,0 < y < 1 + y otherwise
The joint density function of X and Y is given by f (x, y) = xex(y+1)x > 0, y > 0 (a) Find the conditional density of X, given Y = y, and that of Y, given X = x. (b) Find the density function of Z =...
Trade promotions refer to offers made to Group of answer choices channel members non-profit organizations businesses consumers Question 2 Consumer promotions refer to offers made to Group of answer...
In Olympic competition, a microphone detects the sound of the starter's gun and sends it electrically to speakers at every runner's starting block. Why?
"Increasing financial leverage increases both the cost of debt (rdebt) and the cost of equity (requity). So the overall cost of capital cannot stay constant." This problem is designed to show that...
You are the global sales manager for a consumer food products company that is getting ready to roll out a new product. As part of the introduction your global sales force is being asked to do a...
Your supervising attorney asks you to locate the digest topic and key numbers for the Glover v.Lockheed Corp. case listing. He remembers it is a Federal Supplement case, but he cannot remember the...
Mortgage companies usually charge interest semi-annually. What would be the effective rate of interest on a mortgage at 4.25 percent compounded semi-annually?
Jimmy owns a garden in which he has planted N trees in a row. After a few years, the trees have grown up and now they have different heights. Jimmy pays much attention to the aesthetics of his...
The joint density of X and Y is f(x, y) = ce 2y , for 0 < x < y < . (a) Find c. (b) Find the marginal densities of X and Y . Do you recognize either of these distributions? (c) Find P(Y < 2X).
The time until the light in Bobs office fails is exponentially distributed with mean 2 hours. The time until the computer crashes in Bobs office is exponentially distributed with mean 3 hours....
You would like to speculate on a rise in the price of a certain stock. The current stock price is $29 and a three-month call with a strike price of $30 costs $2.90. You have $5,800 to invest....
Describe a lump sum, an annuity due, an ordinary annuity, and multiple cash flows. How are the present value and future value calculated for each? What is an APR? What is an EAR? How are they...
During 2016, XYZCo's accounts receivable turnover was 9.80 (times). What was the average time required to collect its accounts receivable for 2016? 123 2 Compute the following operational activity...
how does the client vrify thee time off balances that are owed to the employeee
Most lawsuits against auditors occur within which period of time: a. the first two years of the auditor's relationship b. typically, once there is a triggering event c. the first five years of the...
Introduction to finance What is the Department of Finance? What is cash flow? What is budgeting? What is the secret to profitability? What is a control and loss controller summary
A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); 5 J from (5 m, 0...
Multiple Choice Questions: 1. The largest component of aggregate demand is? a. Government purchases. b. Net exports. c. Consumption. d. Investment. 2. A reduction in personal income taxes, other...
How large a sample would be needed to ensure that the length of the CI in Problem 6.30 is 0.5 g/mL assuming the sample standard deviation remains at 2.0 g/mL? Pharmacology Suppose we want to estimate...
What is the best estimate of the 1971 incidence rate from these data? Environmental Health Much discussion has taken place concerning possible health hazards from exposure to anesthetic gases. In one...
Provide a 95% CI for the true incidence rate? Environmental Health Much discussion has taken place concerning possible health hazards from exposure to anesthetic gases. In one study conducted in...
How does the implementation of a centralized database system impact the efficiency and data accuracy in a large retail organization?
Identify some processes related to a workplace, assess the benefits and concerns that may arise as a result of the relative sizes of P-time with respect to D-time. In a table include the benefits and...
industry competitors and customers analysis & develop a communications pla. Choose any company and analyze its industry, competitors and customers. Then either present theirs communications plan or...

Suppose the joint density function of X and Y is f(x, y) = 2e 6x , for

Question:

Step by Step Answer:

X and Y are independent ...View the full answer

Probability With Applications and R

Students also viewed these Mathematics questions