5.42 The operating times in minutes of three machines are normally dis- tributed with mean times 15, 30 and 20 minutes respectively, and standard deviations 1, 2 and 5 minutes respectively. The machines are independent except for machines 2 and 3 which have operating times that are correlated with r = 0.1. What is the probability that the total operating time of the three machines is at most one hour?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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5.42 The operating times in minutes of three machines are normally dis-
tributed with mean times 15, 30 and 20 minutes respectively, and standard
deviations 1, 2 and 5 minutes respectively. The machines are independent
except for machines 2 and 3 which have operating times that are correlated
with r =
0.1. What is the probability that the total operating time of the
three machines is at most one hour?
Transcribed Image Text:5.42 The operating times in minutes of three machines are normally dis- tributed with mean times 15, 30 and 20 minutes respectively, and standard deviations 1, 2 and 5 minutes respectively. The machines are independent except for machines 2 and 3 which have operating times that are correlated with r = 0.1. What is the probability that the total operating time of the three machines is at most one hour?
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