document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105752>Question 105752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9. A box contains four defective and six good electronic sensors. If five sensors are drawn, with replacement,<BR>\n" );
document.write( "find the probability of drawing<BR>\n" );
document.write( "(a) at most one defective<BR>\n" );
document.write( "(b) at least one defective<BR>\n" );
document.write( "(c) fewer than three defective </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77001 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=77001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A box contains four defective and six good electronic sensors. If five sensors are drawn, with replacement,<BR>\n" );
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document.write( "P(defective)= 0.4 ; P(good)=0.6<BR>\n" );
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document.write( "find the probability of drawing<BR>\n" );
document.write( "(a) at most one defective<BR>\n" );
document.write( "P(at most one defective) = P(none defective)+ P(one defective) =(0.6^5)+ <BR>\n" );
document.write( "5C1[0.4^1*0.6^4] = 0.07776 + 0.2592 = 0.33696<BR>\n" );
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document.write( "(b) at least one defective<BR>\n" );
document.write( "P(at least one defective) = 1 - P(none defective) = 1 - (0.6^5 = 0.922<BR>\n" );
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document.write( "\n" );
document.write( "(c) fewer than three defective<BR>\n" );
document.write( "P(fewer than three defective = P(none defective)+P(one defective)+P(2 defective)<BR>\n" );
document.write( "= 0.33696 + P(2 defective)<BR>\n" );
document.write( "=0.33696 + 5C2[0.4^2*0.6^3]<BR>\n" );
document.write( "= 0.33696 + 0.3456 = 0,68256<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );