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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) 2 3 y 2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(v).

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) 2 3 y 2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(v).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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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: 2/2 f(x,y) 1 0.10 0.05 2 0.10 0.35 3 0.03 0.10 0.20 I 3 0.02 0.05 c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(y).
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: 2/2 f(x,y) 1 0.10 0.05 2 0.10 0.35 3 0.03 0.10 0.20 I 3 0.02 0.05 c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(y).
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