The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. The probability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of C failing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at least two parts out of three are out of order. I can fix the printer if only two parts are broken, otherwise, I will only spoil everything. What is the conditional probability that I don't need to undertake repairs, given that the call the master" signal is on?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. The
probability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of C
failing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at least
two parts out of three are out of order. I can fix the printer if only two parts are broken,
otherwise, I will only spoil everything. What is the conditional probability that I don't need to
undertake repairs, given that the call the master" signal is on?
AnouO
Transcribed Image Text:The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. The probability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of C failing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at least two parts out of three are out of order. I can fix the printer if only two parts are broken, otherwise, I will only spoil everything. What is the conditional probability that I don't need to undertake repairs, given that the call the master" signal is on? AnouO
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