problemset36

problemset36 - X,Y in question#3 of Problem Set 35 in which...

This preview shows pages 1–6. Sign up to view the full content.

STAT/MA 416 November 30, 2011 Problem Set 36 Name: 1. Consider a tray with 8 lemonades and 3 raspberry juices. Alice and Bob each take 1 drink from the tray, without replacement. Assume that all of their choices are equally likely. Let X be the number of lemonades that Alice and Bob get. (Note: X is either 0, 1, or 2.) Find the variance of X . 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. In question #1, let X 1 and X 2 indicate (respectively) if Alice and Bob (respectively) get lemonade. In other words, X 1 = 1 if Alice gets lemonade, or X 1 = 0 otherwise; and X 2 = 1 if Bob gets lemonade, or X 2 = 0 otherwise. Find the correlation ρ ( X 1 , X 2 ) between X 1 and X 2 . 2
3a. For the X, Y in question #1 of Problem Set 35, in which Jim cuts wood, and Y = 2 X +2, find Cov( X, Y ), i.e., the covariance of X and Y . b. Find the correlation ρ ( X, Y ) of X and Y . 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4a. For the

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: X,Y in question #3 of Problem Set 35, in which Y = ( X-1)( X +1) = X 2-1, ﬁnd Cov( X,Y ), i.e., the covariance of X and Y . b. Find the correlation ρ ( X,Y ) of X and Y . 4 5. Roll two 4-sided dice ( not 6-sided dice ). Let X be the minimum value, and let Y be the maximum value. Find the covariance of X and Y . 5 6. Design your own problem and solution. Create your own problem about the correlation of two discrete or continuous random variables. Design your problem in such a way that you would ﬁnd it enjoyable and also interesting (i.e., not completely trivial) if you found this problem in a probability book. Please provide the answer for your problem too. 6...
View Full Document

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern