document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189095>Question 1189095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soft drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the\r<BR>\n" );
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document.write( "amount of drink is normally distributed with a standard deviation equal to 15 millimeters, a) what fraction of the cups will contain more than 240 milliliters?\r<BR>\n" );
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document.write( "b) c) what is the probability that a cup contains between 191 and 209 milliliters? how many cups will likely overflow if 230 milliliters cups are used for the next 1000 di\r<BR>\n" );
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document.write( "d)\r<BR>\n" );
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document.write( "below what value do we get the smallest 25% of the drinks?<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 #820351 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=820351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z(240)>(240-200/15 or +2.67<BR>\n" );
document.write( "probability z> 2.67=0.0038<BR>\n" );
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document.write( "between 191 and 209 is the same way.<BR>\n" );
document.write( "calculator 2ndVARS(191,209,200,15) and that will equal twice the probability of z=9/15 or -.6<z<0.6<BR>\n" );
document.write( "=0.4515.<BR>\n" );
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document.write( "230 ml cups are two sd over or 0.02275 probability, so 22.75 or 23 cups would be expected to overflow<BR>\n" );
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document.write( "z(0.25)=-0.6745=(x-200)/15<BR>\n" );
document.write( "-10.12=x-200<BR>\n" );
document.write( "x=189.88 or 190 ml\r<BR>\n" );
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document.write( "Note: there is an error in the problem. The SD is 15 milliliters. All units are in ml.\r<BR>\n" );
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