document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169016>Question 1169016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to a survey, 38% of employees working at a very large company are happy with their jobs. Suppose that two employees are selected at random from this company. Let x denote the number of employees in this sample of two who are happy with their jobs. Construct the probability distribution table of x.<BR>\n" );
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document.write( "x  p(x)<BR>\n" );
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document.write( "0   ?<BR>\n" );
document.write( "1   ?<BR>\n" );
document.write( "2   ?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851291 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52858)</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=851291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "According to a survey, 38% of employees working at a very large company are happy with their jobs. <BR>\n" );
document.write( "Suppose that two employees are selected at random from this company. <BR>\n" );
document.write( "Let x denote the number of employees in this sample of two who are happy with their jobs. <BR>\n" );
document.write( "Construct the probability distribution table of x.<BR>\n" );
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document.write( "x  p(x)<BR>\n" );
document.write( "_______<BR>\n" );
document.write( "0   ?<BR>\n" );
document.write( "1   ?<BR>\n" );
document.write( "2   ?<BR>\n" );
document.write( "_______<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(a)  x = 0  means that in the pair no one is happy.\r\n" );
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document.write( "     The probability for it is  P(x=0) = (1-0.38)*(1-0.38) = 0.3844.\r\n" );
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document.write( "(b)  x = 1  means that one of the two in the pair is happy, while another is not.\r\n" );
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document.write( "     The probability for it is  P(x=1) = (1-0.38)*0.38 + 0.38*(1-0.38) = 0.4712.\r\n" );
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document.write( "(c)  x = 2  means that both in the pair are happy.\r\n" );
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document.write( "     The probability for it is  P(x=2) = 0.38*0.38 = 0.1444.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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