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 distribution is given as the table below. What is the marginal probability function of X and Y? Verify if X and Y are independent. f(x,y) 1 0.05 0.05 0.10 Y 2 0.05 0.15 0.30 3 0.15 0.15

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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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
distribution is given as the table below. What is the marginal probability
function of X and Y? Verify if X and Y are independent. *
f(x,y)
1
2
3
1
0.05
0.05
0.10
Y
0.05
0.15
0.30
0.15
0.15
2.
Transcribed Image Text: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 distribution is given as the table below. What is the marginal probability function of X and Y? Verify if X and Y are independent. * f(x,y) 1 2 3 1 0.05 0.05 0.10 Y 0.05 0.15 0.30 0.15 0.15 2.
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