document.write( "Question 1193400: Fifty percent of midsize manufacturers planned to have management representative visit Canada and Mexico to take advantage of opportunities created by the North American Free Trade Agreements. An export-import group in Toronto , Canada , has invited 20 US midsize manufacturers to participate in the conference to explore trade opportunities. What are the variance and standard deviation of manufacturers sending representatives? \n" ); document.write( "
Algebra.Com's Answer #825420 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Answers:
\n" ); document.write( "Variance = 5 (exact)
\n" ); document.write( "Standard Deviation = 2.236068 (approximate)\r
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\n" ); document.write( "\n" ); document.write( "Explanation:
\n" ); document.write( "This is a binomial distribution problem.
\n" ); document.write( "n = 20 = sample size
\n" ); document.write( "p = 50% = 0.50 = probability a company sends a representative\r
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\n" ); document.write( "\n" ); document.write( "The variance of this binomial distribution is
\n" ); document.write( "v = variance
\n" ); document.write( "v = n*p*(1-p)
\n" ); document.write( "v = 20*0.50*(1-0.50)
\n" ); document.write( "v = 5\r
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\n" ); document.write( "\n" ); document.write( "The standard deviation is the square root of the variance
\n" ); document.write( "sigma = standard deviation
\n" ); document.write( "sigma = sqrt(v)
\n" ); document.write( "sigma = sqrt(5)
\n" ); document.write( "sigma = 2.236068
\n" ); document.write( "This is approximate to 6 decimal places. Round it however your teacher instructs.
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