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, 2, 3. c. List the cumulative distribution function F(x).

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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f(x, y)
Y
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35
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Transcribed Image Text:f(x, y) Y 1 3 35 5 1 0.05 0.05 0.00 T 2 0.05 0.10 0.20 0.10 0.35 0.10
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, 2, 3.
c. List the cumulative distribution function F(x).
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 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, 2, 3. c. List the cumulative distribution function F(x).
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