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Let X denote the number of times a certain numerical control machine will malfunction: , 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: c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(v). e. Find the conditional distribution of f(xy), P(X=1 | Y = 3). f. Find the conditional distribution of f(x), P(X=3 | Y = 3). g. Determine if the random variables are statistically independent considering f (2, 1).

Let X denote the number of times a certain numerical control machine will malfunction: , 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: c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(v). e. Find the conditional distribution of f(xy), P(X=1 | Y = 3). f. Find the conditional distribution of f(x), P(X=3 | Y = 3). g. Determine if the random variables are statistically independent considering f (2, 1).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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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. Theirjoint probability distribution is given below: 
a. List the cumulative distribution function F(x).

b.List the cumulative distribution function F(y).

c.Find the conditional distribution of f(x|y), P(X = 1 | Y = 3).

d.Find the conditional distribution of f(y|x), P(X = 3| Y = 3).

g.Determine if the random variables are statistically independentconsidering f(2, 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: c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(v). e. Find the conditional distribution of f(xv), P(X = 1 | Y = 3). f. Find the conditional distribution of f(x), P(X=3 | Y = 3). g. Determine if the random variables are statistically independent considering f (2, 1).
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: c. List the cumulative distribution function F(x). d. List the cumulative distribution function F(v). e. Find the conditional distribution of f(xv), P(X = 1 | Y = 3). f. Find the conditional distribution of f(x), P(X=3 | Y = 3). g. Determine if the random variables are statistically independent considering f (2, 1).
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