document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494763>Question 494763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A loaf of bread is normally distributed with a mean of22 oz. and a standard deviation of 0.5 oz. <BR>\n" );
document.write( "a, what is the probability that a loaf is btwn 22.75and 23.00? <BR>\n" );
document.write( "B, 5% of the loafs will weigh less than_____ ounces? <BR>\n" );
document.write( "C, assuming 200 loaves are baked on a given day, how many of these will weigh more than 23 ounces? thanks for the help...  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335804 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=335804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A loaf of bread is normally distributed with a mean of 22 oz. and a standard deviation of 0.5 oz. <BR>\n" );
document.write( "a, what is the probability that a loaf is btwn 22.75 and 23.00?<BR>\n" );
document.write( "z(22.75) = (22.75-22)/0.5 = 0.75/0.5 = 1.5<BR>\n" );
document.write( "z(23) = (23-22)/0.5 = 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(22.75 < x < 2300) = P(1.5 < z < 2) = 0.0441<BR>\n" );
document.write( "-------------------------------------------------------------- <BR>\n" );
document.write( "B, 5% of the loafs will weigh less than_____ ounces?<BR>\n" );
document.write( "Find the z-value with a left tail of 5%:<BR>\n" );
document.write( "z = invNorm(0.05) = -1.645<BR>\n" );
document.write( "Find the corresponding x value using x = zs + u<BR>\n" );
document.write( "x = -1.645*0.5 + 22 = 21.1775<BR>\n" );
document.write( "----------------------------------------------------- <BR>\n" );
document.write( "C, assuming 200 loaves are baked on a given day, how many of these will weigh more than 23 ounces?<BR>\n" );
document.write( "z(23) = 2<BR>\n" );
document.write( "P(x > 23) = P(z > 2) = 0.0228<BR>\n" );
document.write( "Expected # above 23 = 0.0228*200 = 4.55 loaves<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );