document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041069>Question 1041069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she answers correctly.<BR>\n" );
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document.write( "Table with x and P(X=x)<BR>\n" );
document.write( "x= 1, 2, 3, 4 then <BR>\n" );
document.write( "P(X=x)?\r<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 #656004 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she answers correctly.\r<BR>\n" );
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document.write( "Table with x and P(X=x)<BR>\n" );
document.write( "x= 1, 2, 3, 4 then <BR>\n" );
document.write( "P(X=x)? <BR>\n" );
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document.write( "Binomial Problem with p(correct) = 1/5 ; n = 4<BR>\n" );
document.write( "P(X = 1 correct) = 4C1*(1/5)*(4/5)^3 = binompdf(4,1/5,1) = 0.4096<BR>\n" );
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document.write( "P(X = 2 correct) = 4C2(1/5)^2*(4/5)^2 = binompdf(4,1/5,2) = 0.1536<BR>\n" );
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document.write( "P(X = 3 correct) = binompdf(4,1/5,3) = 0.0256<BR>\n" );
document.write( "etc.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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