document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047225>Question 1047225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Widgets coming off an assembly line have a 10% defective rate. Five widgets are selected at random and tested.  <BR>\n" );
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document.write( "1.What is the probability that all five of them are defective?<BR>\n" );
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document.write( "2. What is the probability that the first two are defective and the other three are not? <BR>\n" );
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document.write( "3. What is the probability that the second and fifth ones are defective and the other three are not? <BR>\n" );
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document.write( "4. How many different outcomes result in exactly two of the five being defective? <BR>\n" );
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document.write( "5. What is the probability that exactly two of the five are defective?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662823 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability all 5 are defective is 0.1^5=0.00001<BR>\n" );
document.write( "First two defective is 0.1^2*(0.9)^3=0.00729<BR>\n" );
document.write( "The probability is 0.9*0.1*0.9*0.9*0.1=0.00729<BR>\n" );
document.write( "The outcomes where 2 are defective is 5C2, or 5!/3!2!, and that is 10<BR>\n" );
document.write( "Therefore the probability exactly two are defective is 10*(0.1)^2*(0.9)^3=0.0729.\r<BR>\n" );
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