document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203301>Question 1203301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A game consists of throwing tennis ball into a bucket from a given distance. The probability that Bob will get the tennis ball in the bucket is 0.4 . A turn consists of three attempts. Construct a PDT of X, the number of tennis balls that land in the bucket in a turn. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838747 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "This is a good exercise in basic binomial probability.  Calculate the probabilities of 0, 1, 2, or 3 balls in the bucket and verify that the sum of the probabilities is 1.<br><BR>\n" );
document.write( "If Y (yes) represents a ball in the bucket and N (no) represents a ball not in the bucket, then the probability distribution for the game is found using<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.4Y%2B0.6N%29%5E3 ALIGN=MIDDLE  ALT=\"%280.4Y%2B0.6N%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "0 balls....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%283%2C0%29%28%280.4%29%5E0%29%28%280.6%29%5E3%29=%281%29%281%29%280.216%29=0.216 ALIGN=MIDDLE  ALT=\"C%283%2C0%29%28%280.4%29%5E0%29%28%280.6%29%5E3%29=%281%29%281%29%280.216%29=0.216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "1 ball....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%283%2C1%29%28%280.4%29%5E1%29%28%280.6%29%5E2%29=%283%29%280.4%29%280.36%29=0.432 ALIGN=MIDDLE  ALT=\"C%283%2C1%29%28%280.4%29%5E1%29%28%280.6%29%5E2%29=%283%29%280.4%29%280.36%29=0.432\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "2 balls....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%283%2C2%29%28%280.4%29%5E2%29%28%280.6%29%5E1%29=%283%29%280.16%29%280.6%29=0.288 ALIGN=MIDDLE  ALT=\"C%283%2C2%29%28%280.4%29%5E2%29%28%280.6%29%5E1%29=%283%29%280.16%29%280.6%29=0.288\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "3 balls....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%283%2C3%29%28%280.4%29%5E3%29%28%280.6%29%5E0%29=%281%29%280.064%29%281%29=0.064 ALIGN=MIDDLE  ALT=\"C%283%2C3%29%28%280.4%29%5E3%29%28%280.6%29%5E0%29=%281%29%280.064%29%281%29=0.064\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The PDT for the game....<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( " balls probability\r\n" );
document.write( "   0    0.216\r\n" );
document.write( "   1    0.432\r\n" );
document.write( "   2    0.288\r\n" );
document.write( "   3    0.064</PRE><BR>\n" );
document.write( "CHECK: 0.216 + 0.432 + 0.288 + 0.064 = 1.000<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );