document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022279>Question 1022279</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A Machine Has Three Components Even If One Component Fails Machine Will Not Work Failure Rate Of Component A Is 0.08 Component B Is 0.06 And C Is 0.09 What Is Probability That Machine Will Fail and failure occurrence of three components are independent<BR>\n" );
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document.write( "Question:<BR>\n" );
document.write( " A Machine Has Three Components Even If One Component Fails Machine Will Not Work Failure Rate Of Component A Is 0.08 Component B Is 0.06 And C Is 0.09 What Is Probability That Machine Will Fail and failure occurrence of three components are independent<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "This is a situation similar to a three-step experiment.<BR>\n" );
document.write( "We want to find the probability where each of the three steps is a success.<BR>\n" );
document.write( "The success probabilities are the complement of the failure rates, namely <BR>\n" );
document.write( "(1-0.08),(-0.06) and (1-0.09), or {0.92, 0.94, 0.91).<BR>\n" );
document.write( "Thus the probability of all three are success is the product of the probabilities, <BR>\n" );
document.write( "P(success)=0.92*0.94*0.91=0.786968.<BR>\n" );
document.write( "The probability of any one failing is the complement of success, <BR>\n" );
document.write( "P(failure) = 1-0.786968 = 0.2130  </SPAN>\n" );
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