document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170299>Question 1170299</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount<BR>\n" );
document.write( "of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz.<BR>\n" );
document.write( "a. What percent of cups will receive less than 11.25 oz of soda?<BR>\n" );
document.write( "b. What percent of cups will receive between 11.2 oz and 11.55 oz of soda?<BR>\n" );
document.write( "c. If a cup is chosen at random, what is the probability that the machine will overflow the cup?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795183 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=795183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "so a is z=-0.25/0.2 or 1.25 sd<BR>\n" );
document.write( "z <1.25 with probability of 0.1056 or 10.56%<BR>\n" );
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document.write( "this is between -1.5 sd and 0.25 sd.<BR>\n" );
document.write( "probability is 0.5319 or 53.19%<BR>\n" );
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document.write( "this would be z>2.5 with probability of 0.0062 </SPAN>\n" );
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