document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081743>Question 1081743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball to another player who will shoot a two-point shot. The point guard makes three-point shots 30 percent of the time, while his teammate makes the two-point shot 48 percent of the time. <BR>\n" );
document.write( "Xi	3	0<BR>\n" );
document.write( "P(xi)	0.30	0.70\r<BR>\n" );
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document.write( "Xi	2	0<BR>\n" );
document.write( "P(xi)	0.48	0.52\r<BR>\n" );
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document.write( "	What is the expected value for each choice?\r<BR>\n" );
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document.write( "Should he pass the ball or take the shot himself? Explain.<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 #695772 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=695772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expected value for the PG is 3*0.3=0.9 pts per attempt<BR>\n" );
document.write( "For the teammate, it is 2.0*0.48=0.96 pts per attempt.<BR>\n" );
document.write( "The expected value favors the teammate, but this assumes all shots are independent, and they aren't, so there is another aspect to the problem that is not statistical. </SPAN>\n" );
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