Algebra.Com's Answer #843349 by ikleyn(52782)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "Assume that 10% of people are left-handed. If we select 10 people at random,
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document.write( "find the probability of each outcome below: (Give at least 3 decimal places)
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document.write( "(1) There are exactly 5 lefties in the group
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document.write( "(2) There are more than 3 lefties in the group
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document.write( "This problem is a typical binomial distribution.
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document.write( "Use the standard formulas to find probabilities.
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document.write( "The number of trials n= 10; the probability of an individual successful trials p= 0.1.\r
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document.write( "(1) The number of successful trials k= 5.\r\n" );
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document.write( " P =  =  = 0.001488 (rounded). ANSWER\r\n" );
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document.write( "You can do it with TECHNOLOGY, using your calculator or Microsoft Excel in your computer or specialized web-site.\r\n" );
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document.write( "If you use MS Excel, you have two options / (two opportunities).\r\n" );
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document.write( " First, you can copy the last formula into MS Excel cell and press the \"Enter\" button.\r\n" );
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document.write( " You will get the answer P = 0.001488 immediately and momentarily.\r\n" );
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document.write( " Second opportunity is to use Excel-function BINOM.DIST(5, 10, 0.1, FALSE).\r\n" );
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document.write( " Its second parameter is the \"number of trials n\" (n= 10 in this case); \r\n" );
document.write( " the first parameter is the \"number of successful trials\" (k= 5 in this case);\r\n" );
document.write( " third parameter is \"the probability of success in each one single trial\" (p= 0.1 in this case); and \r\n" );
document.write( " the fourth parameter says if you want calculate a single addend or the sum of addends (the single addend in this case).\r\n" );
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document.write( " Input \"=BINOM.DIST(5, 10, 0.1, FALSE)\" into any MS Excel cell in your computer and press enter to get \r\n" );
document.write( " the same answer P = 0.001488 immediately.\r\n" );
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document.write( " On Excel function BINOM.DIST, see its description everywhere, for example\r\n" );
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document.write( " https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c\r\n" );
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document.write( "On how to calculate it on TI-83/84 calculators, see\r\n" );
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document.write( " https://www.sayvilleschools.org/site/handlers/filedownload.ashx?moduleinstanceid=3050&dataid=12830&FileName=calc%20directions.pdf\r\n" );
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document.write( "(2) The number of successful trials k >= 4.\r\n" );
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document.write( " P =  .\r\n" );
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document.write( " Use online (free of charge) calculator at this web-site \r\n" );
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document.write( " https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( " It is very convenient calculator. It provides many options with simple interface.\r\n" );
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document.write( " P(n=10; k >= 4; p=0.1) = 0.01279 (rounded). ANSWER\r\n" );
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document.write( "Solved.\r
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document.write( "If you want to see many similar or different solved problems on binomial distribution probability, look into the lessons\r
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document.write( " - Simple and simplest probability problems on Binomial distribution \r
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document.write( " - Typical binomial distribution probability problems \r
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document.write( " - How to calculate Binomial probabilities with Technology (using MS Excel) \r
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document.write( " - Solving problems on Binomial distribution with Technology (using MS Excel) \r
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document.write( " - Solving problems on Binomial distribution with Technology (using online solver) \r
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document.write( "in this site.\r
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document.write( "After reading these lessons, you will be able to solve such problems on your own, \r
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document.write( "which is your PRIMARY MAJOR GOAL visiting this forum (I believe).\r
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