document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195025>Question 1195025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that two teams, A and B, play each other five times over a season (not best of five series, but they play all five games). If Team A has a .6 probability of winning any given game complete the probability distribution below (2 points):\r<BR>\n" );
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document.write( "XA    P(XA)\r<BR>\n" );
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document.write( "0      .01\r<BR>\n" );
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document.write( "1      .08\r<BR>\n" );
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document.write( "2\r<BR>\n" );
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document.write( "3\r<BR>\n" );
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document.write( "4\r<BR>\n" );
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document.write( "5\r<BR>\n" );
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document.write( "Total   1.0\r<BR>\n" );
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document.write( "What is the probability that Team A sweeps the season series (wins all five matchups)?\r<BR>\n" );
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document.write( "What is the probability that Team A wins at least three games?\r<BR>\n" );
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document.write( "What is the probability that Team A gets swept (does not win a game)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827359 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> winning none is 0.4^5=0.01 given<BR>\n" );
document.write( "winning one is 0.4^4*0.6*5 ways=0.08 rounded<BR>\n" );
document.write( "winning two is 5C2*0.4^3*0.6^2=0.23<BR>\n" );
document.write( "winning three is 5C3 *0.4^2*0.6^3=0.346<BR>\n" );
document.write( "winning four is 5C4*0.4*0.6^4=0.26<BR>\n" );
document.write( "winning all is 0.6^5=0.08<BR>\n" );
document.write( "adds up to 1.006 because of rounding.<BR>\n" );
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document.write( "wins at least 3 is 0.686 or 0.69 <BR>\n" );
document.write( "gets swept is 0.01, given above </SPAN>\n" );
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