document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025315>Question 1025315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A crate contains six housings that have uniquely 1,2,3,4,5, and 6 defects. Two housings are drawn at random from the crate without replacement. Let the random variable X be equal to the larger of the two numbers of defectives on the two housings. What is the probability distribution 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 #640585 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at the possible 30 outcomes,<BR>\n" );
document.write( "(1,2) (1,3) (1,4) (1,5) (1,6)<BR>\n" );
document.write( "(2,1) (2,3) (2,4) (2,5) (2,6)<BR>\n" );
document.write( "(3,1) (3,2) (3,4) (3,5) (3,6)<BR>\n" );
document.write( "(4,1) (4,2) (4,3) (4,5) (4,6)<BR>\n" );
document.write( "(5,1) (5,2) (5,3) (5,4) (5,6)<BR>\n" );
document.write( "(6,1) (6,2) (6,3) (6,4) (6,5)<BR>\n" );
document.write( "Then the max value of the pair,<BR>\n" );
document.write( "2 3 4 5 6<BR>\n" );
document.write( "2 3 4 5 6<BR>\n" );
document.write( "3 3 4 5 6<BR>\n" );
document.write( "4 4 4 5 6<BR>\n" );
document.write( "5 5 5 5 6<BR>\n" );
document.write( "6 6 6 6 6<BR>\n" );
document.write( "The number of occurences of each number,<BR>\n" );
document.write( "1=>0<BR>\n" );
document.write( "2=>2<BR>\n" );
document.write( "3=>4<BR>\n" );
document.write( "4=>6<BR>\n" );
document.write( "5=>8<BR>\n" );
document.write( "6=>10<BR>\n" );
document.write( "So then the probability distirubtion is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=0%2F30=0 ALIGN=MIDDLE  ALT=\"P%5B1%5D=0%2F30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=2%2F30=1%2F15 ALIGN=MIDDLE  ALT=\"P%5B2%5D=2%2F30=1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B3%5D=4%2F30=2%2F15 ALIGN=MIDDLE  ALT=\"P%5B3%5D=4%2F30=2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B4%5D=6%2F30=1%2F5 ALIGN=MIDDLE  ALT=\"P%5B4%5D=6%2F30=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B5%5D=8%2F30=4%2F15 ALIGN=MIDDLE  ALT=\"P%5B5%5D=8%2F30=4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B6%5D=10%2F30=1%2F3 ALIGN=MIDDLE  ALT=\"P%5B6%5D=10%2F30=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );