document.write( "Question 1197161: A coin is loaded so that heads is three times as likely as the tails. For 3 independent
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document.write( "tosses of the coin find the pmf of the total number of heads realized and the probability of
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document.write( "realizing at most 2 heads. \n" );
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Algebra.Com's Answer #830305 by ikleyn(52872) You can put this solution on YOUR website! . \n" ); document.write( "A coin is loaded so that heads is three times as likely as the tails. For 3 independent \n" ); document.write( "tosses of the coin find the pmf of the total number of heads realized and the probability of \n" ); document.write( "realizing at most 2 heads. \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\"The Head is three times as likely as the tail\" means that the probability of getting\r\n" ); document.write( "head is 0.75, while the probability of getting tail is 0.25.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So you have a binomial distribution problem with n= 3 trials and the probability\r\n" ); document.write( "of each individual success p= 0.75.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now go to web-site https://statisticshelper.com/binomial-probability-calculator \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " +----------------------------------------------------------------------+\r\n" ); document.write( " | It contains free of charge calculator, which computes the entire |\r\n" ); document.write( " | probability mass function, as soon as you input there |\r\n" ); document.write( " | input parameters. |\r\n" ); document.write( " +----------------------------------------------------------------------+\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The input parameters, as I just said, are n= 3 (number of trials) and p= 0.75 (individual success).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Not only the calculator will give you probability mass function as a table,\r\n" ); document.write( "but, in addition, it provides step-by-step complete and detailed explanation to each step.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, it makes me free from doing this routine and many-times-repeating job \r\n" ); document.write( "to explain everything from the beginning to the end each day, as I see such problem arrived to the forum.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Happy learning (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |