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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. Answer in fraction or in exact decimals b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? Answer in fraction or in exact decimals 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? Answer in fraction or in exact decimals

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. Answer in fraction or in exact decimals b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? Answer in fraction or in exact decimals 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? Answer in fraction or in exact decimals

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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. Answer in fraction or in exact decimals b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? Answer in fraction or in exact decimals 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? Answer in fraction or in exact decimals
Transcribed Image Text: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. Answer in fraction or in exact decimals b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? Answer in fraction or in exact decimals 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? Answer in fraction or in exact decimals
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