Homework Help is Here – Start Your Trial Now!
Math
Statistics
Contracts for two construction jobs are randomly assigned to one or more of three firms. A, B, and C. The joint distribution of X, the number of contracts awarded to firm A, and Y, the number of contracts awarded to firm B, is given by the entries in the following table:   Y X 0 1 2 0 1/9 2/9 1/9 1 2/9 2/9 0 2 1/9 0 0   a) Calculate P(X<2, Y<2) b) Find the marginal probability distribution of the random variables X and Y c) Determine whether the random variables X and Y are independent d) Find the conditional density functions p(x|y=1) and p(x|y=0) e) Calculate the expected value of XY f) Find the covariance of X and Y g) Find the correlation coefficent of X and Y

Contracts for two construction jobs are randomly assigned to one or more of three firms. A, B, and C. The joint distribution of X, the number of contracts awarded to firm A, and Y, the number of contracts awarded to firm B, is given by the entries in the following table:   Y X 0 1 2 0 1/9 2/9 1/9 1 2/9 2/9 0 2 1/9 0 0   a) Calculate P(X<2, Y<2) b) Find the marginal probability distribution of the random variables X and Y c) Determine whether the random variables X and Y are independent d) Find the conditional density functions p(x|y=1) and p(x|y=0) e) Calculate the expected value of XY f) Find the covariance of X and Y g) Find the correlation coefficent of X and Y

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Contracts for two construction jobs are randomly assigned to one or more of three firms. A, B, and C. The joint distribution of X, the number of contracts awarded to firm A, and Y, the number of contracts awarded to firm B, is given by the entries in the following table:

  Y
X 0 1 2
0 1/9 2/9 1/9
1 2/9 2/9 0
2 1/9 0 0

 

a) Calculate P(X<2, Y<2)

b) Find the marginal probability distribution of the random variables X and Y

c) Determine whether the random variables X and Y are independent

d) Find the conditional density functions p(x|y=1) and p(x|y=0)

e) Calculate the expected value of XY

f) Find the covariance of X and Y

g) Find the correlation coefficent of X and Y

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS