document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107918>Question 1107918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "For drivers aged 20-24 there is a 34% chance of having a car accident in a one year period (based on data from the National Safety Council).\r<BR>\n" );
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document.write( "(a)	Based on this data, in a group of 14 randomly selected drivers aged 20-24, find the probability that at least 2 of them will have a car accident in the next year. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722978 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the binomial probability distribution to solve this problem<BR>\n" );
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document.write( "Probability (P) (k successes in n trials) = nCk * p^(k) * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)<BR>\n" );
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document.write( "n = 14, p = 0.34<BR>\n" );
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document.write( "P (at least 2 drivers have an accident) = 1 - P(all 14 drivers have no accidents) - P(1 driver out of 14 has an accident)<BR>\n" );
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document.write( "P (at least 2 drivers have an accident) = 1 - 0.003 - 0.021 = 0.976 approximately 0.98<BR>\n" );
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