document.write( "Question 499325: A fair die is rolled 10 times. What is the probability that an odd number (1, 3 or 5) will occur between 2 and 4 times (inclusive)? \n" ); document.write( "

Algebra.Com's Answer #337603 by Edwin McCravy(20059) $\"\"$ $\"About$

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A fair die is rolled 10 times. What is the probability that an odd number (1, 3 or 5) will occur between 2 and 4 times (inclusive)?
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document.write( "That's a binomial probability problem.\r\n" );
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document.write( "There are three ways, (1) By formula, (2) By table, (3) By TI-84 calculator\r\n" );
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document.write( "(1)  By formula\r\n" );
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document.write( ".3662109375\r\n" );
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document.write( "(2) By table.   There are two kinds of binomial tables, cumulative and\r\n" );
document.write( "non-cumulative.\r\n" );
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document.write( "Go to the binomial table for n=10, find the row for x (or r on some tables)\r\n" );
document.write( "as 4 and go across to the column headed .5 or .50.\r\n" );
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document.write( "A.  If your table is cumulative, then you will read .3770.\r\n" );
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document.write( "    1. find the row for x=2 and go across to the column headed .5 or .50, and\r\n" );
document.write( "read .0107\r\n" );
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document.write( "    2. Subtract .3770-.0107 = .3663\r\n" );
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document.write( "B.  If your table is not cumulative, you will read .2051. \r\n" );
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document.write( "    1. find the row for x=3 and go across to the column headed .5 or .50, and\r\n" );
document.write( "read .1172\r\n" );
document.write( "    2. find the row for x=2 and go across to the column headed .5 or .50, and\r\n" );
document.write( "read .0439\r\n" );
document.write( "    3. Add .2051+.1172+.0439 and get .3662.\r\n" );
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document.write( "(3) By TI-84 calculator\r\n" );
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document.write( "Press 2nd\r\n" );
document.write( "Press VARS ALPHA APPS\r\n" );
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document.write( "If you have older version, you will see\r\n" );
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document.write( "binomcdf(10,.5,4\r\n" );
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document.write( "If you have the newer version you have to first answer \r\n" );
document.write( "trials:10, p:.5, x value: 4, highlight and click Paste\r\n" );
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document.write( "Press ENTER\r\n" );
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document.write( "Press —  (minus)\r\n" );
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document.write( "Press 2nd\r\n" );
document.write( "Press VARS ALPHA APPS\r\n" );
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document.write( "If you have older version, you will see\r\n" );
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document.write( "binomcdf(10,.5,4\r\n" );
document.write( ")-binomcdf(10,.5\r\n" );
document.write( ",1)\r\n" );
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document.write( "If you have the newer version you first have to answer \r\n" );
document.write( "trials:10, p:.5, x value: 1, highlight and click Paste\r\n" );
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document.write( "Press ENTER\r\n" );
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document.write( "Read .3662109375\r\n" );
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document.write( "Edwin

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