document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114795>Question 114795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student takes a quiz consisting of 5 multiple choice questions.  Each question has 4 possible answers.  If a student is guessing the answers at random, and the answers to different questions are independent,\r<BR>\n" );
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document.write( "A. Find the probability of giving 5 correct answers.\r<BR>\n" );
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document.write( "B. Find the probability of giving 5 incorrect answers.\r<BR>\n" );
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document.write( "C. Find the probability of giving at least 1 correct answer.\r<BR>\n" );
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document.write( "D. Find the probability of giving exactly 1 correct answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84127 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=84127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answers at random, and the answers to different questions are independent,<BR>\n" );
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document.write( "Four possible answers means P(correct answer) = 1/4; P(wrong answer) = 3/4<BR>\n" );
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document.write( "Let \"x\" be the number of correct answers.<BR>\n" );
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document.write( "A. Find the probability of giving 5 correct answers.<BR>\n" );
document.write( "P(x=5) = (1/4)^5 = 0.000976...<BR>\n" );
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document.write( "B. Find the probability of giving 5 incorrect answers.<BR>\n" );
document.write( "P(x=0) = (3/4)^5 = 0.237...<BR>\n" );
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document.write( "C. Find the probability of giving at least 1 correct answer. <BR>\n" );
document.write( "P(x>=1)= 1 - P(x=0)<BR>\n" );
document.write( "= 1 - 0.237...<BR>\n" );
document.write( "= 0.76269....<BR>\n" );
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document.write( "D. Find the probability of giving exactly 1 correct answer.<BR>\n" );
document.write( "P(x=1) = 5C1(1/4)(3/4)^4 = 5*(1/4)(0.3164...) = 0.39550....<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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