document.write( "Question 1169928: An intercontinental Ballistic Missile has 10000 parts. The probability that does not fail during a flight 0.99995, and parts work independently of one another. If any part does not work, the flight is a failure. What is the probability of successful flight? Answer=0.60653(I don't Know If its correct Answer) \n" ); document.write( "
Algebra.Com's Answer #794769 by Theo(13342)![]() ![]() You can put this solution on YOUR website! that answer is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability that any one part does not fail is .99995.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are 10,000 parts.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability that they will all not fail is .99995 ^ 10000 = .606523077 which rounds to .60653.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the basic concept is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if two events are independent, then the probability of both events occurring at the same time is the probability of the first event times the probability of the second event.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with 10,000 events, all occurring at the same time, and with the same probability for each, your formula becomes .99995 ^ 10000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's what was done above.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |