document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936413>Question 936413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the age of costumers for a particular retail store follows a normal distribution with a mean of 37.5 years and a standard deviation of 7.6 years. what is the probability that the next costumer who enters the store will be less than 42 years old ?\r<BR>\n" );
document.write( "\n" );
document.write( "with formula and solution <BR>\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 #569896 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We want the probability(P) such that P(X<42), we need to calculate the z-score for this probability<BR>\n" );
document.write( "z-score = (X - mean) / standard deviation = (42 - 37.5) / 7.6 = 0.592105263<BR>\n" );
document.write( "now we need to consult the z-tables to find the associated probability<BR>\n" );
document.write( "P{X<42) = 0.7224 which is approx 72%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );