document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137297>Question 1137297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student sits a true/false test with 10 questions and he guesses everyone. How do you describe the probability distribution for the number of correct guesses and also present the probability distribution in a table </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755278 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 11 possible total correct answers, 0-10.  Since each answer has exactly a 50/50 chance of being correct, the midpoint, '5', will have the highest probability of being the total number of correct answers.  The probability graph (or table) will be a bell curve.  The probability of '5' is the highest, '4' and '6' are the next highest, then '3' and '7', etc., all the way down to '0' and '10'.<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "P(10 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5%5E10 ALIGN=MIDDLE  ALT=\"0.5%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.00098<BR>\n" );
document.write( "P(9 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E9+%2A+%280.5%29%5E1+%2A+%2810%21%2F%289%21%2A1%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E9+%2A+%280.5%29%5E1+%2A+%2810%21%2F%289%21%2A1%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.00977<BR>\n" );
document.write( "P(8 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E8+%2A+%280.5%29%5E2+%2A+%2810%21%2F%288%21%2A2%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E8+%2A+%280.5%29%5E2+%2A+%2810%21%2F%288%21%2A2%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.04395<BR>\n" );
document.write( "P(7 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E7+%2A+%280.5%29%5E3+%2A+%2810%21%2F%287%21%2A3%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E7+%2A+%280.5%29%5E3+%2A+%2810%21%2F%287%21%2A3%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.11719<BR>\n" );
document.write( "P(6 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E6+%2A+%280.5%29%5E4+%2A+%2810%21%2F%286%21%2A4%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E6+%2A+%280.5%29%5E4+%2A+%2810%21%2F%286%21%2A4%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.20508<BR>\n" );
document.write( "P(5 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E5+%2A+%280.5%29%5E5+%2A+%2810%21%2F%285%21%2A5%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E5+%2A+%280.5%29%5E5+%2A+%2810%21%2F%285%21%2A5%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.24609<BR>\n" );
document.write( "P(4 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E4+%2A+%280.5%29%5E6+%2A+%2810%21%2F%284%21%2A6%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E4+%2A+%280.5%29%5E6+%2A+%2810%21%2F%284%21%2A6%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.20508<BR>\n" );
document.write( "P(3 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E3+%2A+%280.5%29%5E7+%2A+%2810%21%2F%283%21%2A7%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E3+%2A+%280.5%29%5E7+%2A+%2810%21%2F%283%21%2A7%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.11719<BR>\n" );
document.write( "P(2 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E2+%2A+%280.5%29%5E8+%2A+%2810%21%2F%282%21%2A8%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E2+%2A+%280.5%29%5E8+%2A+%2810%21%2F%282%21%2A8%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.04395<BR>\n" );
document.write( "P(1 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%29%5E1+%2A+%280.5%29%5E9+%2A+%2810%21%2F%281%21%2A9%21%29%29 ALIGN=MIDDLE  ALT=\"%280.5%29%5E1+%2A+%280.5%29%5E9+%2A+%2810%21%2F%281%21%2A9%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.00977<BR>\n" );
document.write( "P(0 correct) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5%5E10 ALIGN=MIDDLE  ALT=\"0.5%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.00098<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );