A certain market has both an express checkout line and a super express checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day and let X2 denote the number of customers in line at the super express checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. X2 1 2 3 0.08 0.07 0.04 0.03 1 0.07 0.10 0.08 0.04 X1 2 0.05 0.04 0.06 0.05 3 0.01 0.04 0.04 0.07 4 0.02 0.01 0.05 0.05 (a) What is P(X1 < X2)? (b) What is the marginal distribution of X,? (c) What is the marginal distribution of X2? (d) Are X, and X2 independent? Support your answer. (e) Find the conditional distribution of X1 given that X2 = 2: P(X1|X2 = 2). %3D

A certain market has both an express checkout line and a super express checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day and let X2 denote the number of customers in line at the super express checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. X2 1 2 3 0.08 0.07 0.04 0.03 1 0.07 0.10 0.08 0.04 X1 2 0.05 0.04 0.06 0.05 3 0.01 0.04 0.04 0.07 4 0.02 0.01 0.05 0.05 (a) What is P(X1 < X2)? (b) What is the marginal distribution of X,? (c) What is the marginal distribution of X2? (d) Are X, and X2 independent? Support your answer. (e) Find the conditional distribution of X1 given that X2 = 2: P(X1|X2 = 2). %3D

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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