3. Let X denote the number of times a machine will malfunction, 1,2 or 3 times on any given day. Let Y denotes the number of times a technician is called on an emergency. Their joint probability distribution is gives as Fix.y) 0.05 0.05 Evaluate the marginal distribution of X • Evaluate the marginal distribution of Y Find P (Y=3, X= 2) 0.05 0.1 1 2 0.1 0.35 3 0.2 0.1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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3. Let X denote the number of times a machine will malfunction, 1, 2 or 3 times on any given day. Let Y denotes
the number of times a technician is called on an emergency. Their joint probability distribution is gives as
F(x.y)
Evaluate the marginal distribution of X
Evaluate the marginal distribution of Y
• Find P (Y=3, X= 2)
0.05
0.1
0.05
0.05
1
2
0.1
0.35
0.2
0.1
3.
Transcribed Image Text:3. Let X denote the number of times a machine will malfunction, 1, 2 or 3 times on any given day. Let Y denotes the number of times a technician is called on an emergency. Their joint probability distribution is gives as F(x.y) Evaluate the marginal distribution of X Evaluate the marginal distribution of Y • Find P (Y=3, X= 2) 0.05 0.1 0.05 0.05 1 2 0.1 0.35 0.2 0.1 3.
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