A local company has two identical lathe machines which are operated independently. A log is kept for each of the two machines and Table QII below shows the number of times that each machine has been operational in the last twelve months. Lathe Status Number of times working Number of times not working A B 780 650 220 350 Table QII Draw the probability tree diagram and solve following questions Q1 If two machines are dependent what is the probability of either lathe working at the visit of supervisor? Q2 What is the probability that only one lathe would broke down? Q3 What is the probability that at least one lathe would have broken down ?

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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A local company has two identical lathe machines which are operated independently.
A log is kept for each of the two machines and Table QII below shows the number of
times that each machine has been operational in the last twelve months.
Lathe
Status
Number of times working
Number of times not working
A
B
780
650
220
350
Table QII
Draw the probability tree diagram and solve
following questions
Q1 If two machines are dependent what is the
probability of either lathe working at the visit of
supervisor?
Q2 What is the probability that only one lathe
would broke down?
Q3 What is the probability that at least one lathe
would have broken down ?
Transcribed Image Text:A local company has two identical lathe machines which are operated independently. A log is kept for each of the two machines and Table QII below shows the number of times that each machine has been operational in the last twelve months. Lathe Status Number of times working Number of times not working A B 780 650 220 350 Table QII Draw the probability tree diagram and solve following questions Q1 If two machines are dependent what is the probability of either lathe working at the visit of supervisor? Q2 What is the probability that only one lathe would broke down? Q3 What is the probability that at least one lathe would have broken down ?
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