Find (a) The density (y) of y, (b) The conditional density fX|Y(x | y) of X given

Question:

Find
(a) The density (y) of y,
(b) The conditional density fX|Y(x | y) of X given Y.
Let
fX,Y(x, y) = 9/100 e-x/4-y/5
for 0 < x < y,
and fX,Y(x,y) = 0 otherwise.

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 06:39 AM

See More Questions

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 =...
Let fX,Y(x, y) = 3/2xy, for 0 x, 0 y, x + y 2, and fX,Y (x,y) = 0 otherwise. find (a) the density fy(y) of y, and (b) the conditional density fx\y(x | y) of X" given Y.
Let X, Y have joint density fX.Y(x,y) = 14e-2x-7y for x > 0 and y > 0; and fX,Y(x, y) = 0 otherwise. a. For y > 0, find the conditional density fX|Y(x | y) of X given Y = y. b. Find the conditional...
Which power plant has high load factor?
Give examples, other than those used in this chapter, of situations in which each of the three implementation approaches is most appropriate. Explain why that implementation approach is most...
In Exercises a differential equation, a point, and a slope field are given. (a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the given...
List and distinguish the three views of structural modeling in the context of an example.
In the current year, Wilson Enterprises, a calendar year taxpayer, suffers a casualty loss of $90,000. How much of the casualty loss will be deductible by Wilson under the following circumstances? a....
Beginning Investment in the business: The owner of the company has invested $18,000 cash into the business. This increases the assets of the business from its zero balance. Owner's equity also...
During the month of October 20--, The Pink Petal flower shop engaged in the following transactions: Oct. 1 Sold merchandise on account to Elizabeth Shoemaker, $1,000, plus tax of $50. Sale No. 222. 2...
Find (a) The density (y) of y, (b) The conditional density fX|Y(x | y) of X given Y. Let fX,Y(x, y) = 5e-x-3y, for 0 < y < x/2, and fX,Y (x,y) = 0 otherwise
Find (a) The density (y) of y, (b) The conditional density fX|Y(x | y) of X given Y. Let fX,Y(x,y) = 6/7(x + y)2, for 0 x 1, 0 y 1, and fX,Y (x,y) = 0 otherwise.
Compute unweighted aggregate price index numbers for each of the given years using 2015 as the base year. Item 2015 2016 2017 2018 2019 1 3.21 3.37 3.80 3.73 3.65 2 3 -51 .83 4 1.30 5 6 -55 .90...
At December 31, Hawke Company reports the following results for its calendar year. Cash sales Credit sales $ 340,000 $ 850,000 In addition, its unadjusted trial balance includes the following items....
ABC Company has a cash balance of $41,000 on August 1 and requires a minimum ending cash balance of $33,160. Cash receipts from sales budgeted for August are $266,160. Cash disbursements budgeted for...
when it is Determine the final value of a $1200 investment invested at 9.3% for 5 years (a) compounded quarterly (b) compounded continuously
How are you doing with practicing using the art of silence effectively as an elementary school counselor intern ?
What are two nonprofit mental health grants currently available in Georgia ?
In Exercises find the indefinite integral and check the result by differentiation. [(13 - x) dx
Define the term utility software and give two examples.
Find the probability that z lies between z = - 1.48 and z = 1.48.
Refer to Exercise 6.83. For ease of calculation, round the number of standard deviations for C grades to .5 standard deviations, and for B and D grades to 1.5 standard deviations. Suppose that the...
Although faculty salaries at colleges and universities in the United States continue to rise, they do not always keep pace with the cost of living nor with salaries in the private sector. In 2005,...
By carrying out the audit of the financial statements in the Property, Plant and Equipment area, we were able to determine the reasonableness of the balance of the vehicle depreciation account. The...
The link between service delivery and external communications has a profound impact on customer perceptions of service quality. If you were to execute a service blueprint for dairy queen store and...
The city of marlohaven has a december 31 fiscal year end, during 20x5 marlohaven levied $1000000 in property taxes. the following details are expected collection of marlohaven's general fund property...

Find (a) The density (y) of y, (b) The conditional density fX|Y(x | y) of X given

Question:

Step by Step Answer:

a b f XY x y 9 100 e x 4 ...View the full answer

Introduction to Probability

Students also viewed these Statistics questions