document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099042>Question 1099042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The attendance at baseball games at a certain stadium is normally distributed, with a mean of 25,000 and a standard deviation of 1200. For any given game:\r<BR>\n" );
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document.write( "A)	What is the probability that attendance is greater than 22,500?\r<BR>\n" );
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document.write( "B)	What is the probability that attendance will be 25,000 or more?\r<BR>\n" );
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document.write( "C)	What is the probability of attendance between 23,500 and 27,000?\r<BR>\n" );
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document.write( "D)	What must the attendance be at the game, for that game's attendance to be in the top 10% of all games?\r<BR>\n" );
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document.write( "E)	What is the probability that attendance is less than 26,000?<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 #713439 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=713439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "a)>=(22500-25000)/1200<BR>\n" );
document.write( ">=-2.083<BR>\n" );
document.write( "This is a probability of 0.9814 from the calculator or table<BR>\n" );
document.write( "b)  This is 0.5<BR>\n" );
document.write( "c) This is z between -3500/1200 or -2.917 and z of 2000/1200 or +1.66667.  This is 0.9504<BR>\n" );
document.write( "d) the top 10th percentile is the 90th percentile, and z=+1.28<BR>\n" );
document.write( "1.28<=(x-25000)/1200<BR>\n" );
document.write( "1536<=x-25000, multiplying through by 1200<BR>\n" );
document.write( "x>=26536 or greater.<BR>\n" );
document.write( "e) z is less than 1000/1200 or +0.833<BR>\n" );
document.write( "This has a probability of 0.7977 </SPAN>\n" );
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