document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191245>Question 1191245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Finite final consists of 30 multiple choice questions. If each question has 4 choices and 1 right answer, find the probability that a student gets an A (i.e. 27 or better) by purely guessing on each question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823075 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52835)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A Finite final consists of 30 multiple choice questions. <BR>\n" );
document.write( "If each question has 4 choices and 1 right answer, find the probability <BR>\n" );
document.write( "that a student gets an A (i.e. 27 or better) by purely guessing on each question.<BR>\n" );
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document.write( "For each individual multiple choice question of 30 multiple questions,\r\n" );
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document.write( "    the probability to guess correctly is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.25;  \r\n" );
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document.write( "    the probability to guess incorrectly is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.75.\r\n" );
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document.write( "Next,  P = P(27) + P(28) + P(29) + P(30) = use the formulas for the binomial distribution = \r\n" );
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document.write( "         = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B30%5D%5E27%2A0.25%5E27%2A0.75%5E3 ALIGN=MIDDLE  ALT=\"C%5B30%5D%5E27%2A0.25%5E27%2A0.75%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B30%5D%5E28%2A0.25%5E28%2A0.75%5E2 ALIGN=MIDDLE  ALT=\"C%5B30%5D%5E28%2A0.25%5E28%2A0.75%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B30%5D%5E29%2A0.25%5E29%2A0.75%5E1 ALIGN=MIDDLE  ALT=\"C%5B30%5D%5E29%2A0.25%5E29%2A0.75%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B30%5D%5E30%2A0.25%5E30%2A0.75%5E0 ALIGN=MIDDLE  ALT=\"C%5B30%5D%5E30%2A0.25%5E30%2A0.75%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = \r\n" );
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document.write( "         = 9.50802*10^(-14) + 3.39572*10^(-15) + 7.80626*10^(-17) + 8.67362*10^(-19) = 9.85548*10^(-14).     <U>ANSWER</U>\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "If you want to see many similar &nbsp;(or different) &nbsp;solved problems, &nbsp;look into the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/How-to-calculate-binomial-probabilities-using-Technology.lesson>How to calculate Binomial probabilities with Technology (using MS Excel)</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-using-Technology.lesson>Solving problems on Binomial distribution with Technology (using MS Excel)</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binom-distr-with-Technology-%28using-online-solver%29.lesson>Solving problems on Binomial distribution with Technology (using online solver)</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "After reading these lessons, &nbsp;you will be able to solve such problems on your own, \r<BR>\n" );
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document.write( "which is your &nbsp;PRIMARY &nbsp;MAJOR &nbsp;GOAL &nbsp;visiting this forum &nbsp;(I believe).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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