document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119811>Question 1119811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose certain coins weights that are normally distributed with a mean of 5.285 g and a standard deviation of 0.066g.  A vending machine is configured to accept those coins with weights between 5.175g and 5.395 g.<BR>\n" );
document.write( "a. If 250 different coins are inserted into the vending machine, what is the expected number of rejected coins? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735429 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=735429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The standard error of the sample of 250 is sigma/sqrt (n) or 0.066/sqrt (250), and that is 0.0042<BR>\n" );
document.write( "The rejection region is 0.110 from the mean in both directions.<BR>\n" );
document.write( "The z-value for the rejection region is +/- 0.110/0.0042=2.62<BR>\n" );
document.write( "This has a probability (both tails) of 0.0088.<BR>\n" );
document.write( "For 250 coins, 250*0.0088=2.2<BR>\n" );
document.write( "2 coins would be expected to be rejected. </SPAN>\n" );
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