document.write( "Question 668447: Assume a system has 5 subsystems. As long as 3 of the subsystems are operational, the system is working. Also assume that each subsystem has a probability of survival equals to 0.9 for 1000 hours of operation without any failure.
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document.write( "What is the probability that the system will survive a 1000 hours of operation without a loss of more than 2 subsystems.\r
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Algebra.Com's Answer #415576 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Assume a system has 5 subsystems. As long as 3 of the subsystems are operational, the system is working. Also assume that each subsystem has a probability of survival equals to 0.9 for 1000 hours of operation without any failure. \n" ); document.write( "What is the probability that the system will survive a 1000 hours of operation without a loss of more than 2 subsystems. \n" ); document.write( "---- \n" ); document.write( "Binomial Problem with n = 5, p(fail) = 0.1, p(not fail) = 0.9 \n" ); document.write( "---------------------- \n" ); document.write( "Comment: That condition means you could have zero, one, or two subsystems fail. \n" ); document.write( "P(0<= x <=2) = binomcdf(5,0.1,2) = 0.9914 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |