document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184185>Question 1184185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the mean retail price per gallon of regular grade gasoline in the United States is $3.45 with a standard deviation of $.20 and that the retail price per gallon has a bell shaped distribution. What percentage of a regular grade gasoline sold for more than $3.85 per gallon </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814871 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> population mean = 3.45<BR>\n" );
document.write( "population standard deviation = .20\r<BR>\n" );
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document.write( "z = (x - m) / s<BR>\n" );
document.write( "z is the z-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the raw mean<BR>\n" );
document.write( "s is the standard deviation.\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "z = (3.85 - 3.45) / .2 = 2.\r<BR>\n" );
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document.write( "area to the right of a z-score of 2 is equal to .022750062.\r<BR>\n" );
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document.write( "that's the probability of the price of gasoline being greater than 3.85.\r<BR>\n" );
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document.write( "the probability of .022750062 rounds to .0228 as shown in the following diaplay of the z-score calculator by david m. lane.\r<BR>\n" );
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document.write( "the z-score calculator can work off the mean and standard deviation to give you the raw score, as shown.\r<BR>\n" );
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document.write( "the z-score calculator gives you the z-score if the mean is set to 0 and the standard deviation is set to 1.\r<BR>\n" );
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document.write( "here's the display when looking for the z-score.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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