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merical control machine will malfunction: 1, 2, or times on any given day. Let Y denote the number times a technician is called on an emergency call. The joint probability distribution is given as f(x, y) 1 2 0.05 3 0.10 0.05 3 0.05 0.10 0.35 0.00 0.20 0.10 (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P(Y = 3 | X = 2).

merical control machine will malfunction: 1, 2, or times on any given day. Let Y denote the number times a technician is called on an emergency call. The joint probability distribution is given as f(x, y) 1 2 0.05 3 0.10 0.05 3 0.05 0.10 0.35 0.00 0.20 0.10 (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P(Y = 3 | X = 2).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Determine if the random variables X and Y are statistically INDEPENDENT or not; show solution.
3.49 Let X denote the number of times a certain nu- merical 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 as f(x, y) 1 1 0.05 3 0.10 0.05 0.05 0.10 0.35 0.00 0.20 0.10 (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P(Y = 3 | X = 2). 35
Transcribed Image Text:3.49 Let X denote the number of times a certain nu- merical 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 as f(x, y) 1 1 0.05 3 0.10 0.05 0.05 0.10 0.35 0.00 0.20 0.10 (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P(Y = 3 | X = 2). 35
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