document.write( "Question 1114478: A quiz consists of 60 multiple choice​ questions, each with five possible​ answers, only one of which is correct. If a student guesses on each​ question, what is the mean and standard deviation of the number of correct​ answers? Round to the nearest thousandth. \n" ); document.write( "
Algebra.Com's Answer #729452 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
We use a binomial probability distribution
\n" ); document.write( ":
\n" ); document.write( "probability of guessing a correct answer is 1/5(0.20) and there are 60 questions
\n" ); document.write( ":
\n" ); document.write( "mean = 60 * (0.20) = 12
\n" ); document.write( ":
\n" ); document.write( "standard deviation = square root(60*(0.20)*(1-0.20)) = 3.0984 approximately 3.098
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );