document.write( "Question 1195595: It has been reported that 83% of federal government employees use e-mail. If a sample of 200 federal government employees is selected, find the mean, variance and standard deviation of the number who use e-mail. \n" ); document.write( "
Algebra.Com's Answer #828120 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "n = 200 = sample size
\n" ); document.write( "p = 0.83 = probability of success\r
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\n" ); document.write( "\n" ); document.write( "mu = mean
\n" ); document.write( "mu = n*p
\n" ); document.write( "mu = 200*0.83
\n" ); document.write( "mu = 166\r
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\n" ); document.write( "\n" ); document.write( "sigma^2 = variance
\n" ); document.write( "sigma^2 = n*p*(1-p)
\n" ); document.write( "sigma^2 = 200*0.83*(1-0.83)
\n" ); document.write( "sigma^2 = 28.22\r
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\n" ); document.write( "\n" ); document.write( "sigma = standard deviation
\n" ); document.write( "sigma = sqrt(variance)
\n" ); document.write( "sigma = sqrt(28.22)
\n" ); document.write( "sigma = 5.312249994 which is approximate\r
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\n" ); document.write( "\n" ); document.write( "Answers:
\n" ); document.write( "Mean = 166
\n" ); document.write( "Variance = 28.22
\n" ); document.write( "Standard Deviation = 5.312249994 (approximate)\r
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\n" ); document.write( "\n" ); document.write( "For more information, check out the Binomial Probability Distribution.
\n" ); document.write( "The reason we have a binomial distribution is because either a person uses email or they don't. Also, any employee is independent of any other.
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