document.write( "Question 747894: Assume you have a random sample of 8 people.
\n" ); document.write( "1. Find the probability that your sample has exactly 6 women.\r
\n" ); document.write( "\n" ); document.write( "2. Find the probability that you have at least 6 women.\r
\n" ); document.write( "\n" ); document.write( "3. What is the probability that there are at most 0 women.\r
\n" ); document.write( "\n" ); document.write( "4. Find the probability that there at least as many men as there are women \n" ); document.write( "

Algebra.Com's Answer #455226 by Edwin McCravy(20055) $\"\"$ $\"About$

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Assume you have a random sample of 8 people.
\n" ); document.write( " 1. Find the probability that your sample has exactly 6 women.
\n" ); document.write( " 2. Find the probability that you have at least 6 women.
\n" ); document.write( " 3. What is the probability that there are at most 0 women.
\n" ); document.write( " 4. Find the probability that there at least as many men as there are women
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document.write( "Look in the cumulative binomial probability table with n=8 \r\n" );
document.write( "and look at the column with p=.5.\r\n" );
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document.write( "You can find such a table here:\r\n" );
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document.write( "http://www.statisticshowto.com/tables/binomial-distribution-table/\r\n" );
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document.write( "You will see this.  The values are really p(x ≦ the value listed)\r\n" );
document.write( "although the heading just reads \"x\": \r\n" );
document.write( "   \r\n" );
document.write( "x≦  p=.5\r\n" );
document.write( "-------\r\n" );
document.write( " 0  .004\r\n" );
document.write( " 1  .035\r\n" );
document.write( " 2  .145\r\n" );
document.write( " 3  .363\r\n" );
document.write( " 4  .637\r\n" );
document.write( " 5  .855\r\n" );
document.write( " 6  .965\r\n" );
document.write( " 7  .996\r\n" );
document.write( " 8    1 \r\n" );
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document.write( "1. Find the probability that your sample has exactly 6 women. \r\n" );
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document.write( "p(x=6) = p(x≦6) - p(x≦5) = .965 - .855 = .110\r\n" );
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document.write( "2. Find the probability that you have at least 6 women.\r\n" );
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document.write( "p(x≧6) = p(x≦8) - p(x≦5) = 1 - .855 = .145\r\n" );
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document.write( "[Notice that that is the same as p(x≦2) because if there are at least\r\n" );
document.write( "6 women there are 2 or fewer men, and the probability of a man and a \r\n" );
document.write( "woman are the same.]\r\n" );
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document.write( "3. What is the probability that there are at most 0 women.\r\n" );
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document.write( "That's the same as p≦0 = .004\r\n" );
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document.write( "4. Find the probability that there at least as many men as there are women\r\n" );
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document.write( "That's the probability that there are 4 or fewer women.\r\n" );
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document.write( "p(x≦4) = .637\r\n" );
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document.write( "Edwin

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