document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840248>Question 840248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300  adults in this city is selected, approximate the probability that more than  26 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity.\r<BR>\n" );
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document.write( "Round your answer to at least three decimal places. Do not round any intermediate steps.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506107 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=506107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is selected, approximate the probability that more than 26 in the sample are unemployed. <BR>\n" );
document.write( "Binomial Problem with n = 300 and p(unemployed) = 0.077<BR>\n" );
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document.write( "mean = np = 300*0.077 = 23.1<BR>\n" );
document.write( "std = sqrt(300*0.077*0.923) = 4.62<BR>\n" );
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document.write( "Use the normal approximation to the binomial with a correction for continuity.<BR>\n" );
document.write( "P(25.5 <= x <= 300.5)<BR>\n" );
document.write( "z(25.5) = (25.5-23.1)/4.62 = 0.5195<BR>\n" );
document.write( "z(301) = (300.5-23.1)/4.62 = 60.04<BR>\n" );
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document.write( "P(0.5195<= z <=60.04) = normalcdf(0.5195,60) = 0.3017<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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