at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. 1 2 0.08 0.08 0.04 0.00 0.04 0.17 0.05 0.03 0.05 0.04 0.10 0.06 0.00 0.03 0.04 0.07 4 0.00 0.01 0.05 0.06 The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout is X, - X2. Calculate the expected difference. 0.17
at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. 1 2 0.08 0.08 0.04 0.00 0.04 0.17 0.05 0.03 0.05 0.04 0.10 0.06 0.00 0.03 0.04 0.07 4 0.00 0.01 0.05 0.06 The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout is X, - X2. Calculate the expected difference. 0.17
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A certain market has both an express checkout line and a super-express checkout line. Let \( X_1 \) denote the number of customers in line at the express checkout at a particular time of day, and let \( X_2 \) denote the number of customers in line at the super-express checkout at the same time. Suppose the joint probability mass function (pmf) of \( X_1 \) and \( X_2 \) is as given in the accompanying table.
\[
\begin{array}{c|cccc}
& 0 & 1 & 2 & 3 \\
\hline
0 & 0.08 & 0.08 & 0.04 & 0.00 \\
1 & 0.04 & 0.17 & 0.05 & 0.03 \\
2 & 0.05 & 0.04 & 0.10 & 0.06 \\
3 & 0.00 & 0.03 & 0.04 & 0.07 \\
4 & 0.00 & 0.01 & 0.05 & 0.06 \\
\end{array}
\]
The difference between the number of customers in line at the express checkout and the number in line at the super-express checkout is \( X_1 - X_2 \). Calculate the expected difference.
\[
\boxed{0.17}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4e23d50-b6e1-4880-9ad9-a789799b751b%2F3915e5b0-439a-45fc-bb11-773f057820db%2Fodzrbs_processed.png&w=3840&q=75)
Transcribed Image Text:A certain market has both an express checkout line and a super-express checkout line. Let \( X_1 \) denote the number of customers in line at the express checkout at a particular time of day, and let \( X_2 \) denote the number of customers in line at the super-express checkout at the same time. Suppose the joint probability mass function (pmf) of \( X_1 \) and \( X_2 \) is as given in the accompanying table.
\[
\begin{array}{c|cccc}
& 0 & 1 & 2 & 3 \\
\hline
0 & 0.08 & 0.08 & 0.04 & 0.00 \\
1 & 0.04 & 0.17 & 0.05 & 0.03 \\
2 & 0.05 & 0.04 & 0.10 & 0.06 \\
3 & 0.00 & 0.03 & 0.04 & 0.07 \\
4 & 0.00 & 0.01 & 0.05 & 0.06 \\
\end{array}
\]
The difference between the number of customers in line at the express checkout and the number in line at the super-express checkout is \( X_1 - X_2 \). Calculate the expected difference.
\[
\boxed{0.17}
\]
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