document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350015>Question 350015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bakery shop sells loaves of fresh French bread. Any unsold loaves at the end of the day are either discarded or sold elsewhere at a loss. The demand for this bread has followed a normal distribution with a mean = 35 loaves and variance/sigma = 8 loaves. <BR>\n" );
document.write( "a)	If 40 loaves are to be made each day, what is the probability of not meeting demand?<BR>\n" );
document.write( "b)	How many loaves should the bakery make each day so that they can meet the demand 90% of the time?<BR>\n" );
document.write( "c)	What is the probability of exceeding 38 loaves, given that the demand exceeds 35?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250514 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=250514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bakery shop sells loaves of fresh French bread. Any unsold loaves at the end of the day are either discarded or sold elsewhere at a loss. <BR>\n" );
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document.write( "The demand for this bread has followed a normal distribution with a mean = 35 loaves and variance/sigma = 8 loaves. <BR>\n" );
document.write( "a) If 40 loaves are to be made each day, what is the probability of not meeting demand?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Find the z-value of 40.<BR>\n" );
document.write( "z(40) = (40-35)/8 = 1/2<BR>\n" );
document.write( "P(x > 40) = P(z> 1/2) = normalcdf(0.5,100) = 0.3085 <BR>\n" );
document.write( "The probability the demand is more than 40 loves is 30.85%<BR>\n" );
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document.write( "b) How many loaves should the bakery make each day so that they can meet the demand 90% of the time?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Find the z-value with a left tail of 90%: invNorm(0.90) = 1.2816<BR>\n" );
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document.write( "Find the corresponding x value: <BR>\n" );
document.write( "x = 1.2816*8+35 = 45.25<BR>\n" );
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document.write( "c) What is the probability of exceeding 38 loaves, given that the demand exceeds 35?<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );