document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193171>Question 193171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a ten-question multiple-choice test with four choices for each question, a student who was not prepared guesses on each item.  Find each probability.<BR>\n" );
document.write( "a. P(six questions correct)<BR>\n" );
document.write( "b. P(at least eight questions are correct)<BR>\n" );
document.write( "c. P(fewer than eight questions correct) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145060 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=145060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a ten-question multiple-choice test with four choices for each question, a student who was not prepared guesses on each item. Find each probability.<BR>\n" );
document.write( "P(correct) = 1/4 ; P(wrong) = 3/4<BR>\n" );
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document.write( "a. P(six questions correct)= 10C6*(1/4)^6*(3/4)^4 = 0.01622<BR>\n" );
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document.write( "b. P(at least eight questions are correct)= 1-binomcdf(10,1/4,7) = 0.000415802...<BR>\n" );
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document.write( "c. P(fewer than eight questions correct) binomcdf(10,1/4,7) = 0.99958<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );