1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 x y 2 0.05 3 0.02 0.10 0.10 0.35 0.05 0.03 0.10 0.20 k. Find the conditional distribution of f(xy), P(X= 3|Y = 1) 1. Find the conditional distribution of f(xy), P(X=3 | Y = 2) m. Find the conditional distribution of f(xy), P(X= 3 | Y = 3)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1. Let X denote the number of times a certain numerical control machine will malfunction:
1, 2, or 3 times on any given day. Let Y denote the number of times a technician is
called on an emergency call. Their joint probability distribution is given below:
f(x,y)
1
2
3
I
2/2
3
0.10 0.05
0.02
0.05
0.10 0.35
0.03 0.10 0.20
k. Find the conditional distribution of f(xy), P(X = 3 | Y = 1)
1. Find the conditional distribution of f(xy), P(X=3|Y=2)
m. Find the conditional distribution of f(xly), P(X=3|Y=3)
Transcribed Image Text:1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 I 2/2 3 0.10 0.05 0.02 0.05 0.10 0.35 0.03 0.10 0.20 k. Find the conditional distribution of f(xy), P(X = 3 | Y = 1) 1. Find the conditional distribution of f(xy), P(X=3|Y=2) m. Find the conditional distribution of f(xly), P(X=3|Y=3)
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