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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 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).

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).

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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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
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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