document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933559>Question 933559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this question.<BR>\n" );
document.write( "a group of students have three desktop computers and three laptop computers. they want to select two computers at random for a course project. Let X be the number of laptop computers in the selection.how many ways can the students select two computers from six? what is the probability of selecting X=2 laptop computers? construct a probability distribution table for X? find the variance of X?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566891 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=566891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a group of students have 3 desktop computers and 3 laptop computers. they want to select 2 computers at random for a course project. <BR>\n" );
document.write( "Let X be the number of laptop computers in the selection.<BR>\n" );
document.write( "how many ways can the students select two computers from six? 6C2 = 15<BR>\n" );
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document.write( "what is the probability of selecting X=2 laptop computers?<BR>\n" );
document.write( "P(x = 2) = 3C2/6C2 = 3/15 = 1/5<BR>\n" );
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document.write( " construct a probability distribution table for X? <BR>\n" );
document.write( "P(x = 0) = (3C0*3C2)/6C2 = (1*3)/6C2 = 1/5<BR>\n" );
document.write( "P(x = 1) = (3C1*3C1)/6C2) = 9/15 = 3/5<BR>\n" );
document.write( "P(x = 2) = (3C2)(3C0)/6C2 = 1/5<BR>\n" );
document.write( "find the variance of X?<BR>\n" );
document.write( "Ans: 2/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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