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) 3 0.10 0.05 0.02 0.10 0.35 0.05 3 0.03 0.10 0.20 I 2 23 y 2 e. Find the conditional distribution of f(xly), P(X = 1 | Y = 1). f. Find the conditional distribution of f(xy), P(X=1|Y=2). g. Find the conditional distribution of f(xly), P(X= 1 | Y = 3).

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
0.10
0.35
0.05
0.03
0.10
0.20
e. Find the conditional distribution of f(xly), P(X= 1 | Y = 1).
f. Find the conditional distribution of f(xly), P(X= 1 | Y = 2).
Find the conditional distribution of f(xly), P(X= 1 | Y = 3).
g.
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 0.10 0.35 0.05 0.03 0.10 0.20 e. Find the conditional distribution of f(xly), P(X= 1 | Y = 1). f. Find the conditional distribution of f(xly), P(X= 1 | Y = 2). Find the conditional distribution of f(xly), P(X= 1 | Y = 3). g.
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