document.write( "Question 1178440: Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the first aid merit badge?\r
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Algebra.Com's Answer #807678 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Of the members of a Boy Scout troop, 15% have received the first aid merit badge. \n" ); document.write( "If 40 boy scouts are selected at random, find the probability that four or more \n" ); document.write( "will have the first aid merit badge? \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 = 40;\r\n" ); document.write( " - number of success trial k >= 4;\r\n" ); document.write( " - Probability of success on a single trial p = 0.15.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We need calculate P(n = 40; k >= 4; p = 0.15). \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 = 40; k >= 4; p = 0.15) = 0.869831, or 86.9831% (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 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( " |