document.write( "Question 1199983: A jar contains a very large number of purple jelly beans and green jelly beans. There are three times as many purple ones as green ones. If an individual chooses 5 beans from the jar, estimate the probability that 3 of the beans will be green? \n" ); document.write( "
Algebra.Com's Answer #833969 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A jar contains a very large number of purple jelly beans and green jelly beans. \n" ); document.write( "There are three times as many purple ones as green ones. \n" ); document.write( "If an individual chooses 5 beans from the jar, estimate the probability \n" ); document.write( "that 3 of the beans will be green? \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( "\r\n" ); document.write( " p = P(success) = P(green) = 1/4 = 0.25; q = 1-p = P(purple) = 3/4 = 0.75.\r\n" ); document.write( "\r\n" ); document.write( " number of trials n= 5;\r\n" ); document.write( "\r\n" ); document.write( " number of successful trials k= 3 (3 green beans of 5).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The probability under the question is\r\n" ); document.write( "\r\n" ); document.write( " P(n=5; k=3; p=0.25) =\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 many other similar (and different) 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( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |