document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373749>Question 373749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes.  For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes?  Place your answer, rounded to 4 decimal places, in the blank.   \r<BR>\n" );
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document.write( "      ***So I figure z1=5 minutes and z2=10 minutes. I need to figure out both separately first. So Z1=5-6.7/2.2 which = 0.7727. Then I figured out <BR>\n" );
document.write( "z2=10-6.7/2.2 which = 1.5. So I know z1=0.7727 and z2=1.5... But I do not know how to proceed from here?**\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266125 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=266125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're basically finding the area under the curve of a standard normal distribution from -0.7727 to 1.5\r<BR>\n" );
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document.write( "So either use a table or a calculator to find that area. \r<BR>\n" );
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document.write( "Preferably, a calculator will do. If you have a TI83, then simply hit \"2nd\" then \"Vars\" to get into the \"Distribution\" menu (which is for stats). Then find \"normalcdf\" and select that function.\r<BR>\n" );
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document.write( "So on your home screen, you should have \"normalcdf(\" (without quotes)\r<BR>\n" );
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document.write( "From there, type in -0.7727,1.5 (your boundaries). You can then optionally include the mean 0 and the standard deviation 1, but it's not necessary. Finally, close off the expression.\r<BR>\n" );
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document.write( "So you should have:  normalcdf(-0.7727,1.5) \r<BR>\n" );
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document.write( "You can also type in : normalcdf(-0.7727,1.5,0,1) , but it's not necessary.\r<BR>\n" );
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document.write( "This then gives you \r<BR>\n" );
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document.write( "normalcdf(-0.7727,1.5) = 0.71334\r<BR>\n" );
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document.write( "Note: For more info on the \"normcdf\" function, check out <a  rel=nofollow HREF=\"http://tibasicdev.wikidot.com/normalcdf\">this page</a>\r<BR>\n" );
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document.write( "So the area under the standard normal curve form z=-0.7727 to z=1.5 is approximately 0.71334\r<BR>\n" );
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document.write( "So the probability that the assembly line time will be between 5 and 10 minutes is about 0.71334 (which is a 71.334% chance)\r<BR>\n" );
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document.write( "Alternatively, you can use the normal tables to give you the area. However, keep in mind that you're going to need to subtract.\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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