document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181930>Question 1181930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basketball player makes 70% of her throws when she is in a two-shot free throw situation (she gets two shots no<BR>\n" );
document.write( "matter what). Her coach notices that she gets nervous in a one-and-one free throw situation (here she only gets to take<BR>\n" );
document.write( "a second shot if she makes the first) and makes 50% of those free throws.<BR>\n" );
document.write( "A) Construct an area model for each of the player’s free throw situations, mapping the chance of getting 0, 1, or 2<BR>\n" );
document.write( "points). \r<BR>\n" );
document.write( "\n" );
document.write( "B) What is the player’s average points per attempt for each of the two scenarios? Two shot vs. One-and-one. \r<BR>\n" );
document.write( "\n" );
document.write( "C) Suppose the player was fouled 50 times this season. Of these, 20 were two-shot free throw situations and 30 were<BR>\n" );
document.write( "one-and-one free throw situations. How many points would you expect her to have scored for free throws this season? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814013 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)  Let X = r.v. equal to shots made from a free throw situation.  The possible values of X are 0, 1, or 2.\r<BR>\n" );
document.write( "\n" );
document.write( "Two-shot:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X=0%29+=+C%282%2C0%29%2A0.7%5E0%2A0.3%5E2+=+0.09 ALIGN=MIDDLE  ALT=\"P%28X=0%29+=+C%282%2C0%29%2A0.7%5E0%2A0.3%5E2+=+0.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X=1%29+=+C%282%2C1%29%2A0.7%5E1%2A0.3%5E1+=+0.42 ALIGN=MIDDLE  ALT=\"P%28X=1%29+=+C%282%2C1%29%2A0.7%5E1%2A0.3%5E1+=+0.42\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X=2%29+=+C%282%2C2%29%2A0.7%5E2%2A0.3%5E0+=+0.49 ALIGN=MIDDLE  ALT=\"P%28X=2%29+=+C%282%2C2%29%2A0.7%5E2%2A0.3%5E0+=+0.49\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "1-and-1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X=0%29+=+0.50 ALIGN=MIDDLE  ALT=\"P%28X=0%29+=+0.50\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X=1%29+=+0.50%2A0.50++=0.25 ALIGN=MIDDLE  ALT=\"P%28X=1%29+=+0.50%2A0.50++=0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X=2%29+=+0.50%2A0.50++=0.25 ALIGN=MIDDLE  ALT=\"P%28X=2%29+=+0.50%2A0.50++=0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B) 2-shot:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28X%29+=+0%2A0.09+%2B+1%2A0.42+%2B+2%2A0.49+=+1.4 ALIGN=MIDDLE  ALT=\"E%28X%29+=+0%2A0.09+%2B+1%2A0.42+%2B+2%2A0.49+=+1.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1-and-1:     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28X%29+=+0%2A0.50+%2B+1%2A0.25+%2B+2%2A0.25+=+0.75 ALIGN=MIDDLE  ALT=\"E%28X%29+=+0%2A0.50+%2B+1%2A0.25+%2B+2%2A0.25+=+0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C) 2-shot:   20*1.4 = 28<BR>\n" );
document.write( "1-and-1:   30*0.75 = 22.5<BR>\n" );
document.write( "She would be expected to score <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2850.5%29 ALIGN=MIDDLE  ALT=\"highlight%2850.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > points from free throws that season. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );