document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021583>Question 1021583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A computer repair person is ‘beeped’ each time there is a call for service. The number of beeps per hour has a Poisson distribution with mean 2 beeps per hour. Calculate the probability that there will be: \r<BR>\n" );
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document.write( "i. At least two beeps in an hour.<BR>\n" );
document.write( "ii. One beep in next three hours.<BR>\n" );
document.write( "iii. No beep in 45 minutes.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637314 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=637314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the pmf of Poisson r.v.\r<BR>\n" );
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document.write( "i.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29+=+%282%5Ex%2Fx%21%29e%5E%28-2%29 ALIGN=MIDDLE  ALT=\"p%28x%29+=+%282%5Ex%2Fx%21%29e%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is p(2)+p(3)+p(4) +... = 1 - p(0) - p(1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-e%5E-2-2e%5E-2 ALIGN=MIDDLE  ALT=\"1-e%5E-2-2e%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.594, to 3 decimal places.  (Here <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+2 ALIGN=MIDDLE  ALT=\"mu+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "ii.  Here <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+3%2A2+=+6 ALIGN=MIDDLE  ALT=\"mu+=+3%2A2+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%281%29+=+%286%5E1%2F1%21%29e%5E%28-6%29+=+6e%5E%28-6%29+=+0.01487 ALIGN=MIDDLE  ALT=\"p%281%29+=+%286%5E1%2F1%21%29e%5E%28-6%29+=+6e%5E%28-6%29+=+0.01487\"   DISABLED_style= \"max-width:90%; height:auto;\" > to five decimal places.\r<BR>\n" );
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document.write( "iii.  Here <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+%283%2F4%29%2A2+=+3%2F2 ALIGN=MIDDLE  ALT=\"mu+=+%283%2F4%29%2A2+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%280%29+=+%281.5%5E0%2F0%21%29e%5E%28-1.5%29+=+e%5E%28-1.5%29+=+0.22313 ALIGN=MIDDLE  ALT=\"p%280%29+=+%281.5%5E0%2F0%21%29e%5E%28-1.5%29+=+e%5E%28-1.5%29+=+0.22313\"   DISABLED_style= \"max-width:90%; height:auto;\" > to five decimal places.<BR>\n" );
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