document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454965>Question 454965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three socks are selected, one at a time from a clothes drawer containing 6 black, 6 brown and 6 green socks. Let x represent the number of brown socks selected in 3 selections from the drawer.\r<BR>\n" );
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document.write( "(A) if this experiment is completed without replacing the socks each time, explain why x is not a binomial random variable.\r<BR>\n" );
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document.write( "(B) if this experiment is completed with replacement of the socks each time, explain why x is a binomial random variable </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312350 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=312350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three socks are selected, one at a time from a clothes drawer containing 6 black, 6 brown and 6 green socks. Let x represent the number of brown socks selected in 3 selections from the drawer. <BR>\n" );
document.write( "(A) if this experiment is completed without replacing the socks each time, explain why x is not a binomial random variable.<BR>\n" );
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document.write( "The probability of selecting a brown sock changes after each draw because<BR>\n" );
document.write( "the sock selected is not returned to the drawer.<BR>\n" );
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document.write( "(B) if this experiment is completed with replacement of the socks each time, explain why x is a binomial random variable<BR>\n" );
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document.write( "The probability of selecting a brown sock is the same<BR>\n" );
document.write( "at each draw because of replacement.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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