document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183683>Question 1183683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20.\r<BR>\n" );
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document.write( "normally distributed. a. If the process fills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring?\r<BR>\n" );
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document.write( "b. What is the probability of underfilling the bottles by at least 30 milliliters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814120 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=814120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z>50/20 or 2.5<BR>\n" );
document.write( "This probability is 0.0062<BR>\n" );
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document.write( "That is the probability of z < -30/20 or -1.5, which is 0.1056 </SPAN>\n" );
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