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( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656050 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=656050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The random variable X = the number of questions she answers correctly.\r<BR>\n" );
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document.write( "==> The possible values of X are 0, 1, 2, 3, 4.\r<BR>\n" );
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document.write( "The probability distribution of X:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X+=+0%29+=+%28matrix%282%2C1%2C4%2C0%29%29%2A0.80%5E4%2A0.20%5E0+=+0.4096 ALIGN=MIDDLE  ALT=\"P%28X+=+0%29+=+%28matrix%282%2C1%2C4%2C0%29%29%2A0.80%5E4%2A0.20%5E0+=+0.4096\"   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+=+%28matrix%282%2C1%2C4%2C1%29%29%2A0.80%5E3%2A0.20%5E1+=+0.4096 ALIGN=MIDDLE  ALT=\"P%28X+=+1%29+=+%28matrix%282%2C1%2C4%2C1%29%29%2A0.80%5E3%2A0.20%5E1+=+0.4096\"   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+=+2%29+=+%28matrix%282%2C1%2C4%2C2%29%29%2A0.80%5E2%2A0.20%5E2+=+0.1536 ALIGN=MIDDLE  ALT=\"P%28X+=+2%29+=+%28matrix%282%2C1%2C4%2C2%29%29%2A0.80%5E2%2A0.20%5E2+=+0.1536\"   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+=+3%29+=+%28matrix%282%2C1%2C4%2C3%29%29%2A0.80%5E1%2A0.20%5E3+=+0.0256 ALIGN=MIDDLE  ALT=\"P%28X+=+3%29+=+%28matrix%282%2C1%2C4%2C3%29%29%2A0.80%5E1%2A0.20%5E3+=+0.0256\"   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+=+4%29+=+%28matrix%282%2C1%2C4%2C4%29%29%2A0.80%5E0%2A0.20%5E4+=+0.0016 ALIGN=MIDDLE  ALT=\"P%28X+=+4%29+=+%28matrix%282%2C1%2C4%2C4%29%29%2A0.80%5E0%2A0.20%5E4+=+0.0016\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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