document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=877303>Question 877303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that a person will make 0,1,2 or 3 errors on his or her income tax return is 0.50, 0.30, 0.15 and 0.05, respectively. IF 30 claims are selected, find the probability that 15 will contain 0 errors,8 will contain 1 error, 5 will contain 2 errors and 2 will contain 3 errors.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #529301 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=529301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a multinomial distribution problem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/png.latex? \frac{n!}{x_{1}!*x_{2}!*x_{3}!*x_{4}!}*( (p_{1})^{x_{1}}*(p_{2})^{x_{2}}*(p_{3})^{x_{3}}*(p_{4})^{x_{4}} )\" title=\"\frac{30!}{15!*8!*5!*2!}*( (0.5)^{15}*(0.3)^{8}*(0.15)^{5}*(0.05)^{2} )\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/png.latex? \frac{30!}{15!*8!*5!*2!}*( (0.5)^{15}*(0.3)^{8}*(0.15)^{5}*(0.05)^{2} )\" title=\"\frac{30!}{15!*8!*5!*2!}*( (0.5)^{15}*(0.3)^{8}*(0.15)^{5}*(0.05)^{2} )\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/png.latex? 0.02010750841622\" title=\"\frac{30!}{15!*8!*5!*2!}*( (0.5)^{15}*(0.3)^{8}*(0.15)^{5}*(0.05)^{2} )\" />\r<BR>\n" );
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document.write( "So, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/png.latex? \frac{30!}{15!*8!*5!*2!}*( (0.5)^{15}*(0.3)^{8}*(0.15)^{5}*(0.05)^{2} ) = 0.02010750841622\" title=\"\frac{30!}{15!*8!*5!*2!}*( (0.5)^{15}*(0.3)^{8}*(0.15)^{5}*(0.05)^{2} )\" />\r<BR>\n" );
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document.write( "making <font color=\"red\">0.02010750841622</font> the final answer (this is approximate) </SPAN>\n" );
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