document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995499>Question 995499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Beth is taking a ten-question multiple-choice test for which each question has three answer choices, only one of which is correct.  Beth decided on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2, the second if it shows 3 or 4, and the third if it shows 5 or 6.  Find the probability of <BR>\n" );
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document.write( "a) exactly four correct answers\r<BR>\n" );
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document.write( "b) fewer than three correct answers   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614241 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=614241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Beth is taking a ten-question multiple-choice test for which each question has three answer choices, only one of which is correct. Beth decided on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2, the second if it shows 3 or 4, and the third if it shows 5 or 6.<BR>\n" );
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document.write( "Binomial Problem with n = 10 and p(correct) = 1/3<BR>\n" );
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document.write( "Find the probability of \r<BR>\n" );
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document.write( "a) exactly four correct answers<BR>\n" );
document.write( "P(x = 4) = 10C4(1/3)^4*(2/3)^6 = binompdf(10,1/3,4) = 0.2276<BR>\n" );
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document.write( "b) fewer than three correct answers<BR>\n" );
document.write( "P(0<= x <= 2) = binomcdf(10,1/3,2) = 0.2991<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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