Given the joint density function begin aligned f(x, y) frac 1 left(x 2 x 1 ight) left(y 2 y 1 ight) 2 leq x leq 4, text and 1 leq y leq 3 end aligned evaluate (E X , E X Y , operatorname Cov (X Y) ), and (ho ) Note that (f(x, y) f(x) f(y) ) ...

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

Given the joint density function [begin{aligned} f(x, y) & =frac{1}{left(x_{2}-x_{1} ight)left(y_{2}-y_{1} ight)} 2 & leq x

Question:

Given the joint density function

\[\begin{aligned} f(x, y) & =\frac{1}{\left(x_{2}-x_{1}\right)\left(y_{2}-y_{1}\right)} \\ 2 & \leq x \leq 4, \text { and } 1 \leq y \leq 3 \end{aligned}\]

evaluate $E\{X\}, E\{X Y\}, \operatorname{Cov}(X Y)$, and $ho$. Note that $f(x, y)=f(x) f(y)$.

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

Step by Step Answer:

Related Book For book-img-for-question

Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

See More Books

Question Posted: May 06, 2024 04:02 AM

See More Questions

Given the joint density function find P (l < Y < 3 | X = 1).
ENSURE WORK IS ORIGINAL OR I REJECT AND REPORT YOU TON THE SUPPORT INSTANTLYThe end result does now not should be taken care of. You may additionally expect n 6 length(xs). [Hint: Function least is a...
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 =...
Jimmy and Elizabeth plan on getting married on the 15th of August. Elizabeth decides that she would prefer to have the reception in her backyard, so she rents an event tent from CELEBRATE Ltd, a firm...
Repeat Problem 1.5.4, except that the drawings are made with replacement. Compare your answers with those from Problem 1.5.4. Problem 1.5.4 Four cards are chosen from a pack of cards without...
The manufacturing costs of Calico Industries for 3 months of the year are as follows: April May June Total Cost $116,800 89,600 96,700 Production (units) 279,900 163,700 238,700 Using the high-low...
Let $\xi$ be a random variable with density function \[ p_{\xi}(x)=\frac{1}{\pi} \frac{1}{1+x^{2}} \] Find $M \min (|\xi|, 1)$.
An existing two-lane highway between two cities, 10 miles apart, is to be converted to a four-lane divided freeway. The average daily traffic (ADT) on the new freeway is forecast to average 20,000...
Equipment has a debit side in a trial balance, why here they are in credit side?
$X$ and $Y$ have a joint probability density given by \[f(x, y)=e^{-(x+y)}, \quad x \geq 0, y \geq 0\] Find $\operatorname{Pr}\{X \geq Y \geq 2\}$ and sketch the region in the $x, y$ plane...
Compare the lognormal and the Rayleigh probability density functions, both of which govern positivedefinite variables. Compare the shapes of the plotted functions, and examine how they shift as...
Let X 1 and X 2 be independent random variables each having the probability distribution show that the random variables Y 1 and Y 2 are independent when Y 1 = X 1 + X 2 and Y 2 ? X 1 (X +X 2 ). x>0....
E. In each situation below, there is a rod on the left, either positively or negatively charged. To the right of the rod, there is a charge. For each situation, draw the direction of the electric...
In the carburization of Fe, the carbon concentration at the surface, Cs, is set at 1 wt. %. Using the Gaussian Error Function Table below, calculate how long it will take at 1000 C to reach the...
What potential consequences can arise from the implementation of a policy wherein a company neglects to account for varying levels of risk when calculating the cost of capital for its diverse...
Factory Overhead Controllable Variance Lo-bed Company produced 4,000 units of product that required four standard hours per unit. The standard variable overhead cost per unit is $3.00 per hour. The...
Lamonda Corporation uses a job order cost system. On April 1, the accounts had balances as shown in the T-accounts below: The following transactions occurred during April: a. Purchased materials on...
Both of the following organometallic reagents will be encountered later in this chapter. Suggest a suitable name for each.
Make an argument that Williams had a right to delay the closing until after August 1.
Hydro Systems has 10-year bonds outstanding with a coupon rate of 4.0 percent. Interest is paid annually. The face amount of each bond is $1,000. What is the company's pretax cost of debit if the...
Assume Evco, Inc. has a current stock price of $52.28 and will pay a $1.80 dividend in one? year; its equity cost of capital is 13%. What price must you expect Evco stock to sell for immediately ?
Bernard co. has 9% coupon bonds on the market that have 13 years left to maturity. The bonds will make annual payments. If the YTM on these bonds is 6%, what is the current bond price (in $ dollars)?...

Given the joint density function [begin{aligned} f(x, y) & =frac{1}{left(x_{2}-x_{1} ight)left(y_{2}-y_{1} ight)} 2 & leq x

Question:

Step by Step Answer:

Mechanical Vibration Analysis, Uncertainties, And Control

Students also viewed these Engineering questions