# Let X, Y, and Z be jointly distributed random variables. ## Problem 28E Chapter 2.6

Statistics for Engineers and Scientists | 4th Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Statistics for Engineers and Scientists | 4th Edition

4 5 0 349 Reviews
28
2
Problem 28E

Let X, Y, and Z be jointly distributed random variables. Prove that Cov(X + Y, Z) = Cov(X, Z) + Cov(Y, Z). (Hint: Use Equation 2.69.)

Step-by-Step Solution:

Step 1 of 1:

Given  X,Y, and Z be the jointly distributed random variable.

Our goal is :

a). We need to prove that Cov(X+Y,Z)=Cov(X,Z)+Cov(Y,Z).

a).

Now we need to prove that Cov(X+Y,Z)=Cov(X,Z)+Cov(Y,Z).

Here Here we multiply X and Y by Z.

Then  and  Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

Statistics for Engineers and Scientists was written by Patricia and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th. The answer to “Let X, Y, and Z be jointly distributed random variables. Prove that Cov(X + Y, Z) = Cov(X, Z) + Cov(Y, Z). (Hint: Use Equation 2.69.)” is broken down into a number of easy to follow steps, and 26 words. Since the solution to 28E from 2.6 chapter was answered, more than 228 students have viewed the full step-by-step answer. This full solution covers the following key subjects: cov, let, equation, hint, jointly. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 28E from chapter: 2.6 was answered by Patricia, our top Statistics solution expert on 06/28/17, 11:15AM.

×
Get Full Access to Statistics For Engineers And Scientists - 4th Edition - Chapter 2.6 - Problem 28e

Get Full Access to Statistics For Engineers And Scientists - 4th Edition - Chapter 2.6 - Problem 28e

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Already have an Account? Is already in use