document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908563>Question 908563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tintin is a student taking a statistics course. Unfortunately, Tintin is not good student. He does not read <BR>\n" );
document.write( "the textbook before the class, does not do homework and regularly misses classes. Tintin intends to rely <BR>\n" );
document.write( "on luck to pass the next quiz. The quiz consists of 10 multiple-choice questions. Each question has five <BR>\n" );
document.write( "possible answers, only one of which is correct. Tintin plans to guess the answer to each question. <BR>\n" );
document.write( "a. What is probability that he gets no answer correct? <BR>\n" );
document.write( "b. What is probability that he gets two answers correct? <BR>\n" );
document.write( "c. What is the probability that he gets all answer correct? <BR>\n" );
document.write( "d. What is the probability that he fails the quiz? A mark is considered a failure if it is less than 50%. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551279 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=551279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The quiz consists of 10 multiple-choice questions. Each question has five <BR>\n" );
document.write( "possible answers, only one of which is correct.<BR>\n" );
document.write( "P(correct) = 1/5 ; P(wrong) = 4/5<BR>\n" );
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document.write( "Tintin plans to guess the answer to each question. <BR>\n" );
document.write( "a. What is probability that he gets no answer correct?<BR>\n" );
document.write( "Ans: (4/5)^10 = 0.1074<BR>\n" );
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document.write( "b. What is probability that he gets two answers correct?<BR>\n" );
document.write( "P(x = 2) = 10C2*(1/5)^2*(4/5)8 = binompdf(10,1/5,2) = 0.3020<BR>\n" );
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document.write( "c. What is the probability that he gets all answer correct?<BR>\n" );
document.write( "Ans: (1/5)^10<BR>\n" );
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document.write( "d. What is the probability that he fails the quiz? <BR>\n" );
document.write( "A mark is considered a failure if it is less than 50%.<BR>\n" );
document.write( "P(0<= x <=4) = binomcdf(10,5^-1,4) = 0.9672<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );