document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476620>Question 476620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1:It is known that one out of every three people entering a particular department will make at least one purchase.<BR>\n" );
document.write( "a)if a random sample  of n=5 persons is selected,what is the probability that:<BR>\n" );
document.write( "i)two or more of them will make at least one purchase?<BR>\n" );
document.write( "ii)at most four of them will make at least one purchase\r<BR>\n" );
document.write( "\n" );
document.write( "b)If a random sample of n=81 persons is selected,what is the approximate probability that:<BR>\n" );
document.write( "i)30 or more of them will make at least one purchase?<BR>\n" );
document.write( "ii)at most 40 of them will make at least one purchase? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326812 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=326812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question 1: It is known that one out of every three people entering a particular department will make at least one purchase.<BR>\n" );
document.write( "Binomial Problem with p = 1/3<BR>\n" );
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document.write( "a)if a random sample of n=5 persons is selected,what is the probability that:<BR>\n" );
document.write( "i)two or more of them will make at least one purchase?::1 - binomcdf(5,1/3,1)<BR>\n" );
document.write( "= 0.5391<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "ii)at most four of them will make at least one purchase::binomcdf(5,1/3,4)<BR>\n" );
document.write( "= 0.9959<BR>\n" );
document.write( "---------------------------- <BR>\n" );
document.write( "b)If a random sample of n=81 persons is selected,what is the approximate probability that:<BR>\n" );
document.write( "i)30 or more of them will make at least one purchase?:::1-binomcdf(81,1/3,29)<BR>\n" );
document.write( "= 0.2751<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "ii)at most 40 of them will make at least one purchase?:::binomcdf(81,1/3,40)<BR>\n" );
document.write( "= 0.9990<BR>\n" );
document.write( "==========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );