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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: e. Find the conditional distribution of f(xly), P(X=1| Y=3) f Find the conditional distribution of f(ylx),P(X=3 | Y=3) g. Determine if the random variables are statistically independent considering (2, 1) x f(x,y) 0.05 0.05 0.10 0.05 0.10 0.35 Y 0.00 0.20 0.10 3 5

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: e. Find the conditional distribution of f(xly), P(X=1| Y=3) f Find the conditional distribution of f(ylx),P(X=3 | Y=3) g. Determine if the random variables are statistically independent considering (2, 1) x f(x,y) 0.05 0.05 0.10 0.05 0.10 0.35 Y 0.00 0.20 0.10 3 5

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: e. Find the conditional distribution of f(xly), P(X=1| Y=3) f Find the conditional distribution of f(ylx),P(X=3 | Y=3) g. Determine if the random variables are statistically independent considering (2, 1) Т f(x,y) 2 3 0.05 0.05 0.10 3 0.05 0.10 0.35 Y 5 0.00 0.20 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: e. Find the conditional distribution of f(xly), P(X=1| Y=3) f Find the conditional distribution of f(ylx),P(X=3 | Y=3) g. Determine if the random variables are statistically independent considering (2, 1) Т f(x,y) 2 3 0.05 0.05 0.10 3 0.05 0.10 0.35 Y 5 0.00 0.20 0.10
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