document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135272>Question 135272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain airplane has two independent alternators to provide electrical power. The probability<BR>\n" );
document.write( "that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will<BR>\n" );
document.write( "fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99090 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that <BR>\n" );
document.write( "(a) both will fail?) <BR>\n" );
document.write( "P(fail AND fail) = 0.02*0.02 = 0.0004<BR>\n" );
document.write( "------------------------------- <BR>\n" );
document.write( "(b) Neither will fail? <BR>\n" );
document.write( "P(not fail AND not fail) = 0.98*0.98 = 0.9604<BR>\n" );
document.write( "-------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "(c) One or the other will fail? <BR>\n" );
document.write( "Prob(one or other fail) = 1 - (0.9604+0.0004) = 0.0392<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );