document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145776>Question 1145776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company prices its tornado insurance using the following assumptions:<BR>\n" );
document.write( "• In any calendar year, there can be at most one tornado.<BR>\n" );
document.write( "• In any calendar year, the probability of a tornado is 0.12.<BR>\n" );
document.write( "• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.<BR>\n" );
document.write( "Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 17-year period.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767068 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Fewer than 4 tornadoes\" is another way of saying 3,2,1, or 0 tornadoes.<BR>\n" );
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document.write( "Probability of exactly 3 tornadoes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.12%29%5E3%2A%280.88%29%5E14%2A%2817%21%2F%283%21%2A14%21%29%29 ALIGN=MIDDLE  ALT=\"%280.12%29%5E3%2A%280.88%29%5E14%2A%2817%21%2F%283%21%2A14%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.1963<BR>\n" );
document.write( "Probability of exactly 2 tornadoes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.12%29%5E2%2A%280.88%29%5E15%2A%2817%21%2F%282%21%2A15%21%29%29 ALIGN=MIDDLE  ALT=\"%280.12%29%5E2%2A%280.88%29%5E15%2A%2817%21%2F%282%21%2A15%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.2878<BR>\n" );
document.write( "Probability of exactly 1 tornado: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.12%29%5E1%2A%280.88%29%5E16%2A%2817%21%2F%281%21%2A16%21%29%29 ALIGN=MIDDLE  ALT=\"%280.12%29%5E1%2A%280.88%29%5E16%2A%2817%21%2F%281%21%2A16%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.2638<BR>\n" );
document.write( "Probability of exactly 0 tornadoes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.88%29%5E17 ALIGN=MIDDLE  ALT=\"%280.88%29%5E17\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.1138<BR>\n" );
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document.write( "Probability of \"fewer than 4 tornadoes\": 0.1963 + 0.2878 + 0.2638 + 0.1138 = 0.8617 </SPAN>\n" );
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