61 Let X andW be the working and subsequent repair times of a certain machine Let Y X W and suppose that the joint probability density of X and Y is fX,Y(x, y) 2ey, 0 x y (a) Find the density of X (b) Find the density of Y (c) Find the joint density of X and W (d) Find the density of W ...

The Answer is in the image, click to view ...

61. Let X andW be the working and subsequent repair times of a certain machine. Let Y...

Question:

61. Let X andW be the working and subsequent repair times of a certain machine. Let Y = X + W and suppose that the joint probability density of X and Y is fX,Y(x, y) = λ

2e−λy, 0< x < y < ∞

(a) Find the density of X.

(b) Find the density of Y.

(c) Find the joint density of X and W.

(d) Find the density of W.

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 Models

ISBN: 9780123756862

10th Edition

Authors: Sheldon M Ross

See More Books

Question Posted: Sep 16, 2024 03:01 AM

See More Questions

A reaction for which H = + 98.8 kJ and S = + 141.5 J/K is ________ (spontaneous or nonspontaneous) at low temperatures and ________ (spontaneous or nonspontaneous) at high temperatures.
Post links to recent news items (published during 2016-17) related to the course content, in the 'discussion forum' created for the purpose on the course website. Each news item should relate to the...
Assume that the Earths atmosphere has a uniform temperature of 20C and uniform composition, with an effective molar mass of 28.9 g/mol. (a) Show that the number density of molecules depends on height...
61. Let X andW be the working and subsequent repair times of a certain machine. Let Y = X + W and suppose that the joint probability density of X and Y is fX,Y(x, y) = 2ey, 0 < x < y < (a) Find the...
Jonathan Macintosh is a highly successful upstate New York orchardman who has formed his own company to produce and package applesauce. Apples can be stored for several months in cold storage, so...
Show me your works Feather Friends, Inc., distributes a high-quality wooden birdhouse that sells for $80 per unit. Variable expenses are $40.00 per unit, and fixed expenses total $200,000 per year....
62. In deciding upon the appropriate premium to charge, insurance companies sometimes use the exponential principle, defined as follows. With X as the random amount that it will have to pay in...
77. Let X and Y be independent normal random variables, each having parameters and 2. Show that X + Y is independent of X Y. Hint: Find their joint moment generating function.
In Problems 15 20, find the distance from P 1 to P 2 . P 1 = (4, 2, 2) and P 2 = (3, 2, 1)
2. Due to a weak connection, there is a break in the circuit (shown below) between points a and b. If R1 = 5.23 0, R2 = 2.29 0, and R3 = 16.2 0, and the two batteries &1 and &2 have voltages of 22.0...
Need answer to part 2 Unit & Lab Quiz E Question 5 of 12 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:21:14 Alexandra V Mail Delivery A local postal carrier distributes first-class letters,...
Contact (by phone, email or in person), an independently owned (not a chain-affiliated) restaurant or food-service operation that you would like to learn about. Ask permission to interview the owner,...
(b) An adiabatic steam turbine operates at steady conditions with inlet steam at 500C and 2 MPa. The outlet state is at 10 kPa and quality, x=0.95. i) Determine the quality of the steam at the outlet...
Consider the following time series data. Quarter 1 2 3 4 (ii) (a) Choose the correct time series plot. (i) 10 9 A 7 6 Time Series Values 12 Time Series Values VYMANO 12 11 10 9 8 7 6 Year 1 5 1 5432...
Although it was not mentioned in the text, an alternative form for a URL is to use the IP address instead of its DNS name. An example of using an IP address is 192.31.231.66/index.html. How does the...
On the basis of the details of the following fixed asset account, indicate the items to be reported on the statement of cashflows: ACCOUNT Land ACCOUNT NO. Balance Date Item Debit Credit Debit Credit...
22. Let Yn be the sum of n independent rolls of a fair die. Find lim n P{Yn is a multiple of 13}
10. In Example 4.3, Gary is currently in a cheerful mood. What is the probability that he is not in a glum mood on any of the following three days?
9. Suppose in Exercise 8 that the coin flipped on Monday comes up heads. What is the probability that the coin flipped on Friday of the same week also comes up heads?

61. Let X andW be the working and subsequent repair times of a certain machine. Let Y...

Question:

Step by Step Answer:

Introduction To Probability Models

Students also viewed these Business questions