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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: a. Find the marginal distribution g(x), x=1,2,3. b. Find the marginal distribution h(y), y=1,3,5. c. List the cumulative distribution function F(x) d. List the cumulative distribution function F(y)

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: a. Find the marginal distribution g(x), x=1,2,3. b. Find the marginal distribution h(y), y=1,3,5. c. List the cumulative distribution function F(x) d. List the cumulative distribution function F(y)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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: a. Find the marginal distribution g(x), x=1,2,3. b. Find the marginal distribution h(y), y=1,3,5. c. List the cumulative distribution function F(x) d. List the cumulative distribution function F(y) x f(x,y) 2 0.05 0.05 0.05 0.10 Y 0.00 0.20 3 35 3 0.10 0.35 0.10
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: a. Find the marginal distribution g(x), x=1,2,3. b. Find the marginal distribution h(y), y=1,3,5. c. List the cumulative distribution function F(x) d. List the cumulative distribution function F(y) x f(x,y) 2 0.05 0.05 0.05 0.10 Y 0.00 0.20 3 35 3 0.10 0.35 0.10
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