document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247286>Question 247286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A burglar alarm system has six fail-safe components.  The probability of each failing in 0.05. Find the following probabilities.\r<BR>\n" );
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document.write( "a. Exactly three will fail<BR>\n" );
document.write( "b. Fewer than 2 will fail<BR>\n" );
document.write( "c. None will fail<BR>\n" );
document.write( "d. All will fail </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180426 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=180426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A burglar alarm system has six fail-safe components. The probability of each failing in 0.05. Find the following probabilities. <BR>\n" );
document.write( "a. Exactly three will fail<BR>\n" );
document.write( "P(x=3) = 6C3*(0.05)^3(0.95)^3 = 0.0021<BR>\n" );
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document.write( "b. Fewer than 2 will fail<BR>\n" );
document.write( "I use a calculator for these:<BR>\n" );
document.write( "P(0<= x <= 1) = binomcdf(6,0.05,1) = 0.9672...<BR>\n" );
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document.write( "c. None will fail<BR>\n" );
document.write( "P(x=0) = 0.95^6 = 0.7351...<BR>\n" );
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document.write( "d. All will fail<BR>\n" );
document.write( "P(x=6) = 0.05^6 = 0.0000000156...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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