document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872697>Question 872697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The purchases made by customers at a convenience store are normally distributed, with a mean of $8.50 and a standard deviation of $6.00. What is the probability that a randomly chosen customer makes a purchase between $2.50 and $14.50?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526406 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=526406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The purchases made by customers at a convenience store are normally distributed, with a mean of $8.50 and a standard deviation of $6.00. What is the probability that a randomly chosen customer makes a purchase between $2.50 and $14.50? <BR>\n" );
document.write( "------<BR>\n" );
document.write( "z(2.5) = (2.5-8.5)/6 = -6/6 =-1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "z(14.5) = (14.5-8.5)/6 = 6/6 = 1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "P(2.5< x < 8.5) = P(-1< z < 1) = 0.6827<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" );