document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087745>Question 1087745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean time from prescription drop-off to medicine pickup for a customer served at Heisenberg’s Pharmacy is 64 minutes, with a standard deviation of 18 minutes. Assuming a normal distribution, what is the probability that a randomly chosen customer experiences service done between 64 and 100 minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702064 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "The mean time from prescription drop-off to medicine pickup for a customer served at Heisenberg’s Pharmacy is 64 minutes, with a standard deviation of 18 minutes. Assuming a normal distribution, what is the probability that a randomly chosen customer experiences service done between 64 and 100 minutes?<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "mean=&mu;=64 minutes<BR>\n" );
document.write( "sd=&sigma;=18 minutes<BR>\n" );
document.write( "normal distribution N(64,18)<BR>\n" );
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document.write( "Need P(64<x<100)<BR>\n" );
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document.write( "P(64<x<100)<BR>\n" );
document.write( "=P((64-&mu;)/&sigma; < z < (100-&mul)/&sigma;)<BR>\n" );
document.write( "=P((64-64)/18 < z < (100-64)/18)<BR>\n" );
document.write( "=P(0 < z < 2)<BR>\n" );
document.write( "=P(z<2)-P(z<0)<BR>\n" );
document.write( "=0.9772499-0.5  [ from tables ]<BR>\n" );
document.write( "=0.47725<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );