document.write( "Question 1207520: There are five possible answers for each question in a multiple choice examination containing 12 questions. If a candidate answers the questions randomly, find the probability that the candidate gets:
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\n" ); document.write( "(c) at least one question right;
\n" ); document.write( "(d) not more than ten questions wrong. \n" ); document.write( "

Algebra.Com's Answer #845441 by ikleyn(52805) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "There are five possible answers for each question in a multiple choice examination
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\n" ); document.write( "find the probability that the candidate gets:
\n" ); document.write( "(a) no question right;
\n" ); document.write( "(b) nine questions wrong;
\n" ); document.write( "(c) at least one question right;
\n" ); document.write( "(d) not more than ten questions wrong.
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document.write( "Answering each multiply choice question has the probability\r\n" );
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document.write( "    to be right of 1/5 = 0.2;  to be wrong 4/5 = 0.8.\r\n" );
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document.write( "This experiment is binomial, such the probability of success \r\n" );
document.write( "is the same for each of 12 trials, and answering different multiply choice question\r\n" );
document.write( "are independent events.\r\n" );
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document.write( "Having this in mind, let start.\r\n" );
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document.write( "(a)  P =  =  = 0.06872  (rounded).\r\n" );
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document.write( "(b)  Use the standard formula of binomial distribution\r\n" );
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document.write( "         P =  =  = 0.2362   (rounded).\r\n" );
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document.write( "             (9 wrong means 9 wrong, 3 correct).\r\n" );
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document.write( "(c)  at least one question right is the COMPLEMENT to \"all answers are wrong\".\r\n" );
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document.write( "         P(all answers are wrong) =  = 0.06872  (rounded).\r\n" );
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document.write( "               (it is what we calculate in a).\r\n" );
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document.write( "         Therefore, P(at least one question right) = 1 - 0.06872 = 0.93128.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar or different solved problems on binomial distribution probability, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems on Binomial distribution \r
\n" ); document.write( "\n" ); document.write( "    - Typical binomial distribution probability problems \r
\n" ); document.write( "\n" ); document.write( "    - How to calculate Binomial probabilities with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using online solver) \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "After reading these lessons, you will be able to solve such problems on your own, \r
\n" ); document.write( "\n" ); document.write( "which is your PRIMARY MAJOR GOAL visiting this forum (I believe).\r
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