The following table represents the joint probability distribution of the number of people waiting in line at Food Truck X and Food Truck Y. Y=0 Y=1 Y=2 Y=3 PX(X=x) X=0 0.32 0.06 0.025 0.01 X=1 0.02 0.05 0.07 X=2 0.025 0.05 0.105 X=3 0.026 0.2 0.05 0.024 PY(Y=y) 0.114 a. Determine the probability of 3 people waiting in line at Food Truck Y and 2 people waiting in line at Food Truck X. b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? c. If at least 2 people are waiting in line at Food Truck X, what is the probability that 3 people are waiting in line at Food Truck Y?
The following table represents the joint probability distribution of the number of people waiting in line at Food Truck X and Food Truck Y. Y=0 Y=1 Y=2 Y=3 PX(X=x) X=0 0.32 0.06 0.025 0.01 X=1 0.02 0.05 0.07 X=2 0.025 0.05 0.105 X=3 0.026 0.2 0.05 0.024 PY(Y=y) 0.114 a. Determine the probability of 3 people waiting in line at Food Truck Y and 2 people waiting in line at Food Truck X. b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? c. If at least 2 people are waiting in line at Food Truck X, what is the probability that 3 people are waiting in line at Food Truck Y?
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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The following table represents the joint
| Y=0 | Y=1 | Y=2 | Y=3 | PX(X=x) | |
|---|---|---|---|---|---|
| X=0 | 0.32 | 0.06 | 0.025 | 0.01 | |
| X=1 | 0.02 | 0.05 | 0.07 | ||
| X=2 | 0.025 | 0.05 | 0.105 | ||
| X=3 | 0.026 | 0.2 | 0.05 | 0.024 | |
| PY(Y=y) | 0.114 |
a. Determine the probability of 3 people waiting in line at Food Truck Y and 2 people waiting in line at Food Truck X.
b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined?
c. If at least 2 people are waiting in line at Food Truck X, what is the probability that 3 people are waiting in line at Food Truck Y?
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