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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