document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576666>Question 576666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly.\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "(a) Is this a binomial experiment? Explain how you know.<BR>\n" );
document.write( "(b) Use the correct formula to find the probability of guessing exactly 18 questions correctly out of the 50 questions. Show your calculations or explain how you found the probability. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369946 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=369946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly. \r<BR>\n" );
document.write( "\n" );
document.write( "(a) Is this a binomial experiment? Explain how you know<BR>\n" );
document.write( "Trials are independent; p(correct) = 1/5 on each trial <BR>\n" );
document.write( "---------------------------------------------------------------<BR>\n" );
document.write( "(b) Use the correct formula to find the probability of guessing exactly 18 questions correctly out of the 50 questions. Show your calculations or explain how you found the probability.<BR>\n" );
document.write( "P(x = 18) = 50C18*(1/5)^18*(4/5)^32<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );