document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061748>Question 1061748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Customers arrive at a local ice cream stand at an average rate of 16 per hour.								<BR>\n" );
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document.write( "a.     What is the probability that 2 customers will arrive during the next 15 minutes?								<BR>\n" );
document.write( "b.     What is the probability that 4 customers will arrive during the next 15 minutes?								<BR>\n" );
document.write( "c.     What is the probability that 6 customers will arrive during the next 30 minutes?								<BR>\n" );
document.write( "d.     What is the probability that more 7 customers will arrive during the next 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 #676524 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(x)=e(-lambda)*lambda^x/x!  Poisson distribution--discrete, proportional, could be infinite theoretically<BR>\n" );
document.write( "lambda=16 or 4 per quarter hour<BR>\n" );
document.write( "P(2)=0.1465.  That is e^(-4)(4^2)/2!<BR>\n" );
document.write( "P(4)=0.1954<BR>\n" );
document.write( "P(6), now lambda is 8; 0.1221<BR>\n" );
document.write( "7 more  (if that is the intent of the question)  is a lambda of 12. If it is more than 7, it is longer to do but it's done the same way using the formula above.  From the table, more than 7=0.9105.<BR>\n" );
document.write( "e^(-12)*12^7/7!<BR>\n" );
document.write( "=0.0437\r<BR>\n" );
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