document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151425>Question 151425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me understand this can you please show me how you get your answers so i can understand it.  \r<BR>\n" );
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document.write( "A vending machine automatically pours soft drinks into cups.  The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and standard deviation of 0.4oz.  Examine figure 7.- and answer the following questions.\r<BR>\n" );
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document.write( "a) estimate the probability that the machine will overflow an 8oz cup.<BR>\n" );
document.write( "b) Estimate the probabiltiy that the machine will not overflow an 8oz cup.<BR>\n" );
document.write( "c) the machine has just been loaded with 850 cups.  HOw many of these do you expect will overflow when served?\r<BR>\n" );
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document.write( "Please can you help me understand this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111316 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and standard deviation of 0.4oz. Examine figure 7.- and answer the following questions. <BR>\n" );
document.write( "a) estimate the probability that the machine will overflow an 8oz cup.<BR>\n" );
document.write( "Procedure:<BR>\n" );
document.write( " Determine the z-score for 8<BR>\n" );
document.write( "z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1<BR>\n" );
document.write( "P(x>8) = P(z>1) = 0.1587..<BR>\n" );
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document.write( "b) Estimate the probabiltiy that the machine will not overflow an 8oz cup.<BR>\n" );
document.write( "P(z<1) = 1 - 0.1587 = 0.8413..<BR>\n" );
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document.write( "c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served? <BR>\n" );
document.write( "0.1587*850 = 134.857..; Rounded down you get 134 cups<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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