document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049352>Question 1049352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This has been a tough one for me and any help is greatly appreciated!\r<BR>\n" );
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document.write( "Mimi plans to make a random guess at 10 true-or-false questions. Answer the following questions: \r<BR>\n" );
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document.write( "(a)  Assume random number X is the number of correct answers Mimi gets. As we know, X follows a binomial distribution. What is n (the number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?\r<BR>\n" );
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document.write( "(b)  What is the probability that she gets at least 8 correct answers? (Show work and round the answer to 4 decimal places)\r<BR>\n" );
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document.write( "(c)  How many correct answers can she expect to get? (Hint : What is the expected value of the binomial distribution?)  (Show work)\r<BR>\n" );
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document.write( "Thank you for any help you can offer!<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 #664894 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=664894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mimi plans to make a random guess at 10 true-or-false questions. Answer the following questions: <BR>\n" );
document.write( "(a) Assume random number X is the number of correct answers Mimi gets. As we know, X follows a binomial distribution. What is n (the number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?<BR>\n" );
document.write( "n = 10<BR>\n" );
document.write( "p = q = 1/2<BR>\n" );
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document.write( "(b) What is the probability that she gets at least 8 correct answers? (Show work and round the answer to 4 decimal places)<BR>\n" );
document.write( "P(8<= x <=10) = 1 - binomcdf(10,1/2,7) = 0.0547<BR>\n" );
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document.write( "(c) How many correct answers can she expect to get? (Hint : What is the expected value of the binomial distribution?) <BR>\n" );
document.write( "mean = n*p = 10*(1/2) = 5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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