document.write( "Question 1179025: A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 22 times, and the man is asked to predict the outcome in advance. He gets 17 out of 22 correct. What is the probability that he would have done at least this well if he had no ESP?
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Algebra.Com's Answer #808507 by ikleyn(52795)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            As I understand,  all this variety of unnecessary  English words should be filtered out,\r
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\n" ); document.write( "\n" ); document.write( "            and the problem asks  ONLY  to find the probability of getting  17  or more correct predictions of the total  22  cases.\r
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document.write( "It is a binomial distribution probability problem.\r\n" );
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document.write( "    - number of trials         n =  22;\r\n" );
document.write( "    - number of success trials k >= 17;\r\n" );
document.write( "    - Probability of success on a single trial p = 0.5.\r\n" );
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document.write( "We need calculate  P(n=22; k>=17; p=0.5).      \r\n" );
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document.write( "To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site \r\n" );
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document.write( "https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "It provides nice instructions  and  a convenient input and output for all relevant options/cases.\r\n" );
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document.write( "    P(n=22; k>=17; p=0.5) = 0.00845    (rounded).       ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see a variety of similar solved problems,  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
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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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\n" ); document.write( "\n" ); document.write( "Filtering out all unnecessary words is a  MANDATORY/obligatory step solving any  Math problem,  written in English  (a joke).\r
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\n" ); document.write( "\n" ); document.write( "It is because filling the text with unnecessary words is a standard style writing school Math problems in  English  (unfortunately).\r
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\n" ); document.write( "\n" ); document.write( "(Last my statement is not a joke.  As a result of using such style,  students do not understand simplest things,  starting from fractions.)\r
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