ORIE 3500/5500 Fall Term 2008 Assignment 3
Note that the due date is Monday, September 29, at 1:00 pm you need to mention your section number on the top of your answer script.
1. [4 + 3 = 7 pts] Suppose that X is a discrete random variable with PM

OR 3500/5500, Fall15, Homework 4
Homework 4
Solutions
Problem 1. The joint pdf of X and Y is given by
(
24xy if 0 x 1, 0 y 1 and x + y 1,
fX,Y (x, y) =
0
otherwise.
Compute the followings.
a) Var(X), Var(Y ), Var(X + Y ).
b) Var(3X
2Y ).
c) Cov(3X
2Y, X).

ORIE 3500/5500
Lecture 8: Covariance and
Correlation
Jamol Pender
School of Operations Research and Information Engineering
Cornell University
September 12th 2016
Professor Jamol Pender
ORIE 3500/5500 Engineering Probability and Statistics II
Properties o

ORIE 3500/5500
Lecture 3: Independence and
Random Variables
Jamol Pender
School of Operations Research and Information Engineering
Cornell University
August 29th 2016
Professor Jamol Pender
ORIE 3500/5500 Engineering Probability and Statistics II
Independ

ORIE 3500/5500
Lecture 4: Independence and
Joint Distributions
Jamol Pender
School of Operations Research and Information Engineering
Cornell University
August 31st 2016
Professor Jamol Pender
ORIE 3500/5500 Engineering Probability and Statistics II
Examp

ORIE 3500/5500
Lecture 5: Expectation and
Variance
Jamol Pender
School of Operations Research and Information Engineering
Cornell University
September 2nd 2016
Professor Jamol Pender
ORIE 3500/5500 Engineering Probability and Statistics II
Pandas Example

ORIE 3500/5500
Lecture 6: Expectation and
Variance
Jamol Pender
School of Operations Research and Information Engineering
Cornell University
September 7th 2016
Professor Jamol Pender
ORIE 3500/5500 Engineering Probability and Statistics II
Tail CDF Expect

ORIE 3500/5500 Fall Term 2008 Assignment 2-Solution
1. Let A1 , A2 and A3 be the events that rst, second and third friend hit the deer respectively. They are independent and P (A1 ) = 0.3, P (A2 ) = 0.4, P (A3 ) = 0.5. (a) P (A1 A2 A3 ) = P (A1 )P

ORIE 3500/5500 Fall Term 2008 Assignment 2
Note that the due date is Monday, September 22, at 1:00 pm you need to mention your section number on the top of your answer script.
1. [2 + 2 + (2 + 2 + 2) = 10 pts] Three friends went in a forest to hun

OR 3500/5500, Fall15, Homework 2
Homework 2
Solutions
Problem 1. A box contains one brand A, two brand B, and three brand C
transistors. Two transistors are drawn at random and with replacement. Let
X (resp. Y ) be the number of brand A (resp. brand B) tr