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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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pleease ansswer. dont use excel.
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Need help with part: D, E and F