document.write( "Question 1175758: According to the last census, 45% of working women held full time jobs in 2010. If a random sample of 50 working women is drawn, what is the probability that 19 or more hold full time jobs? \n" ); document.write( "
Algebra.Com's Answer #801445 by ikleyn(52834)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "According to the last census, 45% of working women held full time jobs in 2010. If a random sample \n" ); document.write( "of 50 working women is drawn, what is the probability that 19 or more hold full time jobs? \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 = 50;\r\n" ); document.write( "\r\n" ); document.write( " - number of success trial k >= 19;\r\n" ); document.write( "\r\n" ); document.write( " - Probability of success on a single trial p = 0.45.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We need calculate P(n=50; k>=19; p=0.45) = 0.531441. \r\n" ); document.write( "\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( "\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=50; k>=19; p=0.45) = 0.87265488533, or 0.8727 (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( " |