document.write( "Question 1178696: Assume that male and female births are equally likely and that the birth of any
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document.write( "child does not affect the probability of the gender of any other children. Find the probability of at most five girls in ten births. \n" );
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Algebra.Com's Answer #808067 by ikleyn(52807)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Assume that male and female births are equally likely and that the birth of any \n" ); document.write( "child does not affect the probability of the gender of any other children. \n" ); document.write( "Find the probability of at most five girls in ten births. \n" ); document.write( "~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "It is a binomial distribution probability problem.\r\n" ); document.write( "\r\n" ); document.write( " - number of trials n = 10;\r\n" ); document.write( " - number of success trials k <= 5;\r\n" ); document.write( " - Probability of success on a single trial p = 0.5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We need calculate P(n=10; k<=5; p=0.5). \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site \r\n" ); document.write( "\r\n" ); document.write( "https://stattrek.com/online-calculator/binomial.aspx\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It provides nice instructions and a convenient input and output for all relevant options/cases.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(n=10; k<=5; p=0.5) = 0.623046875, or 0.6230 (rounded). ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \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 \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |