document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137801>Question 1137801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. A certain Area in the Philippines is, on the average, hit by 5 typhoons a year. Find the probability that in a given year, this are will be hit by:\r<BR>\n" );
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document.write( "A. fewer than 4 typhoons <BR>\n" );
document.write( "B. anywhere from 3 to 5 typhoons \r<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 #755723 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I just saw &nbsp;(and solved) &nbsp;several similar problems in this forum.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;They are not exactly and precisely mathematical, since the condition is not completed and requires some additions.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Again, &nbsp;they are not exactly and precisely mathematical, &nbsp;but mostly serve to exercise your &nbsp;\"common sense\".\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;They require you to reformulate the condition in a way the problem to obtain its sense.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;And they require such an addition \r<BR>\n" );
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document.write( "           a)  \"to be consistent\"  with the given part,  and  \r\n" );
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document.write( "           b)  to be likelihood.\r\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, again, it is not \"the pure Mathematics in its pure instance\" - it is the common sense hypothesizing <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;to make right formulation and to get the problem solved   &nbsp;&nbsp;&nbsp;&nbsp;(&nbsp; = &nbsp; to get a likelihood solution&nbsp;).\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;After this introduction, &nbsp;I can now move to the solution.\r<BR>\n" );
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document.write( "Having nothing else given, an appropriate hypotheses is to assume that we have random variable X = \"the number of typhoons\" \r\n" );
document.write( "with integer random values which is uniformly distributed with the minimum value of 0 and the maximum value of 10.\r\n" );
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document.write( "Then the mean average  is exactly 5, as the problem states, and  the condition becomes \"consistent with the given part\" and \"self-closed\".\r\n" );
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document.write( "Then the answer to question (A) is   P(X < 3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F11 ALIGN=MIDDLE  ALT=\"4%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (X may have values of 0, 1, 2 or 3 of 11 possible integer values from 0 to 10);  \r\n" );
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document.write( "the answer to question (B) is  P(X= 3, or 4, or 5) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F11 ALIGN=MIDDLE  ALT=\"3%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Unusual-probability-problems.lesson>Unusual probability problems</A> \r<BR>\n" );
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document.write( "in this site, &nbsp;where you will find many other similar problems solved and explained.\r<BR>\n" );
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