document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281545>Question 281545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem is: The mean contents of bottles of a certain brand of soft drink is 310 ml. with a standard deviation of 5 ml.<BR>\n" );
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document.write( "a) What percentage of bottles would contain betwen 300 and 310 ml of contents?<BR>\n" );
document.write( "b) What percentage of bottles would contain at least 304 ml of contents?<BR>\n" );
document.write( "c) What is the probability of a bottle containing less than 300 ml of content?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204534 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathematicians><B>Mathematicians(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathematicians><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=Mathematicians><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unfortunately I do not have a Z table, not to mention different Z tables calculate things differently. with me and it has been ages since I took statistics, but this should be the correct way to solve this problem.\r<BR>\n" );
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document.write( "You have the formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X+-+M%29%2FS+=+Z ALIGN=MIDDLE  ALT=\"%28X+-+M%29%2FS+=+Z\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where X is the data, M is the mean, and S is the standard deviation. Z is the Z score it corresponds with.\r<BR>\n" );
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document.write( "a) our data is 300 and 310 and we want it in between. Well, we know 310 is the mean so that is when z = 0. We do not need to check this, we need to check 300.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28300+-+310%29+%2F+5+=+-2 ALIGN=MIDDLE  ALT=\"%28300+-+310%29+%2F+5+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Depending on your Z table, Z = -2 should correspond with some decimal. That is your answer.\r<BR>\n" );
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document.write( "b) with this one,  you want to calculate z > 304. Once again, depending how your Z table looks at it, you will either have to do 1 - P(x=304) or .5 + p(x = 304)\r<BR>\n" );
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document.write( "We can begin calculating Z:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%28304+-+310%29%2F5+=+1.2 ALIGN=MIDDLE  ALT=\"z+=+%28304+-+310%29%2F5+=+1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I can't really tell you how your Z table calculates probability because I have had two different Z tables in a couple different classes a few years ago. </SPAN>\n" );
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