document.write( "Question 1152881: Assume that 17% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below, rounded to four decimal places:
\n" ); document.write( "a. There are some lefties (≥1) among the 5 people. \r
\n" ); document.write( "\n" ); document.write( "b. There are exactly 3 lefties in the group. \r
\n" ); document.write( "\n" ); document.write( "c. There are at least 4 lefties in the group. \r
\n" ); document.write( "\n" ); document.write( "d. There are no more than 2 lefties in the group. \r
\n" ); document.write( "\n" ); document.write( "e. How many lefties do you expect? \r
\n" ); document.write( "\n" ); document.write( "f. With what standard deviation? \n" ); document.write( "
Algebra.Com's Answer #775001 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            It is a binomial distribution type problem.\r
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\n" ); document.write( "\n" ); document.write( "            I will use a Technology to solve it quickly.\r
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\n" ); document.write( "\n" ); document.write( "            I will use the Excel standard function BINOM.DIST to facilitate calculations.\r
\n" ); document.write( "\n" ); document.write( "            It has the analogue --- the standard function binompdf in pocket calculators TI-83 and TI-84.\r
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document.write( "(a)  P = \"sum%28C%285%2Ck%29%2A0.2%5Ek%2A%281-0.2%29%5E%285-k%29%2Ck=1%2C5%29\" = 1 - \"C%285%2C0%29%2A0.2%5E0%2A%281-0.2%29%5E5\" = 1 - BINOM.DIST(0,5,0.2,FALSE) = 0.67232.\r\n" );
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document.write( "(b)  P = \"C%285%2C3%29%2A0.2%5E3%2A%281-0.2%29%5E2\" = BINOM.DIST(3,5,0.2,FALSE) = 0.0512.\r\n" );
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document.write( "(c)  P = \"sum%28C%285%2Ck%29%2A0.2%5Ek%2A%281-0.2%29%5E%285-k%29%2Ck=4%2C5%29\" = 1 - \"sum%28C%285%2C0%29%2A0.2%5Ek%2A%281-0.2%29%5E%285-k%29%29\" = 1 - BINOM.DIST(3,5,0.2,TRUE) = 0.00672.\r\n" );
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document.write( "(d)  P = \"sum%28C%285%2Ck%29%2A0.2%5Ek%2A%281-0.2%29%5E%285-k%29%2Ck=0%2C2%29\" = BINOM.DIST(2,5,0.2,TRUE) = 0.94208.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Excel function BINOM.DIST, see its description everywhere, for example\r
\n" ); document.write( "\n" ); document.write( "https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c\r
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\n" ); document.write( "\n" ); document.write( "On binompdf function for pocket calculators TI-83 and TI-84 see the link\r
\n" ); document.write( "\n" ); document.write( "http://users.rowan.edu/~schultzl/ti/binomial.pdf\r
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\n" ); document.write( "\n" ); document.write( "If you want to learn in more details on how to use this Technology, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - How to calculate Binomial probabilities using Technology \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Look also into this links to the recently solved problem\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1152847.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1152847.html\r
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