document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140530>Question 1140530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that 19% of brand A bicycle tubes go flat after 1 year, and 33% of brand B bicycle tubes go flat after 1 year. Find the probabilities of the following event occurring. <BR>\n" );
document.write( "a) If you check 24 brand A tubes after one year, what is the probability of 10 NOT going flat?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761078 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=761078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 19% of brand A tires go flat after 1 year means that 100 - 19 = 81% do not go flat after 1 year<BR>\n" );
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document.write( "Note 81% = 0.81<BR>\n" );
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document.write( "use the binomial probability distribution<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( "p = 0.81, n = 24, k = 10<BR>\n" );
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document.write( "P (10 tubes not going flat in 1 year out of 24 tubes) = 24C10 * (0.81)^10 * (1-0.81)^(24-10) = 0.00001905175<BR>\n" );
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