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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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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