document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122077>Question 1122077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A study on the delivery time of mail between two locations has found that the data follows a normal distribution. The study has also found that on average, mail takes up to five days to arrive with a standard deviation of 0.75 days. Using this information, what is the probability that the mail will take at most 4 days to arrive?\r<BR>\n" );
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document.write( "A) 0.0918<BR>\n" );
document.write( "B) 0.9082<BR>\n" );
document.write( "C) 0.50<BR>\n" );
document.write( "D) 0.4082<BR>\n" );
document.write( "E) 1.00 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738131 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=738131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a table or a calculator such as this one provided at the link below\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://onlinestatbook.com/2/calculators/normal_dist.html\">http://onlinestatbook.com/2/calculators/normal_dist.html</a>\r<BR>\n" );
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document.write( "I prefer a calculator option because it's faster, more efficient, less error prone, etc. If you use the calculator at the link, then type in 5 for the mean, 0.75 for the SD (Standard Deviation) and click the \"below\" button. In the box next to \"below\", type in 4. All of this will compute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X+%3C=+4%29 ALIGN=MIDDLE  ALT=\"P%28X+%3C=+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the calculator, we see that the answer is 0.0912 which is fairly close to 0.0918; chances are that your teacher is having you use a Z table, which might explain the slight discrepancy </SPAN>\n" );
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