document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473883>Question 473883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A business has several telephone lines. Incoming calls have a Poisson distribution. They come in at the rate of 1 every 75 minutes during daytime hours. What is the probability, over the course of four daytime hours that the business receives:\r<BR>\n" );
document.write( "\n" );
document.write( "(a) no calls<BR>\n" );
document.write( "(b) exactly four calls<BR>\n" );
document.write( "(c) exactly three calls: Show the Poisson formula and the substitution<BR>\n" );
document.write( "__________________________________________________________________________<BR>\n" );
document.write( "(d) at most five calls<BR>\n" );
document.write( "(e) at least three calls<BR>\n" );
document.write( "(f) between 3 and 7 calls, inclusive </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325050 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will answer only the first three.  I know you'll get the idea for the remaining ones...\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+%281%2F75%29%2A60+=+60%2F75+=+0.8 ALIGN=MIDDLE  ALT=\"mu+=+%281%2F75%29%2A60+=+60%2F75+=+0.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29+=+e%5E%28-0.8%29%2A%280.8%5E0%2F0%21%29+=+0.4493 ALIGN=MIDDLE  ALT=\"P%280%29+=+e%5E%28-0.8%29%2A%280.8%5E0%2F0%21%29+=+0.4493\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29+=+e%5E%28-0.8%29%2A%280.8%5E4%2F4%21%29+=+0.00767 ALIGN=MIDDLE  ALT=\"P%284%29+=+e%5E%28-0.8%29%2A%280.8%5E4%2F4%21%29+=+0.00767\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29+=+e%5E%28-0.8%29%2A%280.8%5E3%2F3%21%29+=+0.038343 ALIGN=MIDDLE  ALT=\"P%283%29+=+e%5E%28-0.8%29%2A%280.8%5E3%2F3%21%29+=+0.038343\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );