document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721016>Question 721016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that an appliance is in repair is 0.5.  If an apartment complex has 100 such appliances, what is the probability that at least 60 will be in repair?  Use the normal approximation to the binomial. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442180 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=442180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability that an appliance is in repair is 0.5. If an apartment complex has 100 such appliances, what is the probability that at least 60 will be in repair? Use the normal approximation to the binomial.<BR>\n" );
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document.write( "mean = np = 100*0.5 = 50<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(50*0.5) = 5<BR>\n" );
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document.write( "P(59.5<= x <= 100.5) = ?<BR>\n" );
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document.write( "z(59.5) = (59.5-50)/5 = -0.1<BR>\n" );
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document.write( "z(100.5) = (100.5-50)/5 = 50.5/5 = 10.1<BR>\n" );
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document.write( "= P(-0.1<= z <=10.1) = 0.5398<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );