document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197325>Question 1197325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five of 10 new buildings in a city violate the building code. A random sample of three buildings<BR>\n" );
document.write( "selected for inspection.<BR>\n" );
document.write( "a)What is the probability of none of the buildings violate the building code in a sample of 3 buildings\r<BR>\n" );
document.write( "\n" );
document.write( "b)What is the probability of at least one of the new buildings violate the building code in a sample of 3 buildings? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830561 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=830561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Five of 10 new buildings in a city violate the building code. A random sample of three <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28new%29 ALIGN=MIDDLE  ALT=\"highlight%28new%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > buildings<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28are%29 ALIGN=MIDDLE  ALT=\"highlight%28are%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > selected for inspection.<BR>\n" );
document.write( "a) What is the probability of none of the buildings violate the building code in a sample of 3 buildings\r<BR>\n" );
document.write( "\n" );
document.write( "b) What is the probability of at least one of the new buildings violate the building code in a sample of 3 buildings?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The solution of two other tutors is correct, if these 10 buildings are all new buildings in the city, \r<BR>\n" );
document.write( "\n" );
document.write( "and there are no other new buildings in the city.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But an opposite assumption can be made, too, that the number of new buildings in the city is very large, <BR>\n" );
document.write( "for example, that there are 10,000 new buildings in the city.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the condition simply means that the probability that a randomly selected  new building in the city violates the code is 1/2 = 0.5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the problem allows and requires different treatment: it can be considered as a standard binomial distribution problem.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From the problem's formulation, it is impossible to determine which one of the two possible treatments is preferable, <BR>\n" );
document.write( "so the condition is AMBIGUOUS. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );