document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253367>Question 253367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A True-False test has 10 questions with each having 2 possible answers with one correct. Assume a student randomly guesses the answers to every question.\r<BR>\n" );
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document.write( "A. What is the probability of getting exactly 5 correct answers?\r<BR>\n" );
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document.write( "B. What is the probability of getting less than 6 correct answers?\r<BR>\n" );
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document.write( "This is what I have come up with so far n=10 p=2 =.05 for p<BR>\n" );
document.write( " p(5) + P(10) =.000+<BR>\n" );
document.write( " P(6) + P(10) =.000+ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185679 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=185679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A True-False test has 10 questions with each having 2 possible answers with one correct. Assume a student randomly guesses the answers to every question.<BR>\n" );
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document.write( "P(correct) = 1/2 ; P(wrong) = 1/2<BR>\n" );
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document.write( "A. What is the probability of getting exactly 5 correct answers?<BR>\n" );
document.write( "Binomial Problem with n = 10, p = 1/2 , x = 5<BR>\n" );
document.write( "P(x=5) = 10C5*(1/2)^5*(1/2)^5 = 252*0.00097656 = 0.2461<BR>\n" );
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document.write( "B. What is the probability of getting less than 6 correct answers?<BR>\n" );
document.write( "P(0<= x <=5) = binomcdf(10,1/2,5) = 0.6230..<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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