document.write( "Question 506626: Several students are unpreapred for a surprise true/false test with 9 questions and all of their answers are guesses. Find the mean and standard deviation for the number of correct answers. Would it be unusual for a student to p[ass by guessing and getting at least 4 correct answers? \n" ); document.write( "
Algebra.Com's Answer #340245 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Several students are unpreapred for a surprise true/false test with 9 questions and all of their answers are guesses. Find the mean and standard deviation for the number of correct answers. Would it be unusual for a student to pass by guessing and getting at least 4 correct answers? \n" ); document.write( "---- \n" ); document.write( "Binomial Problem with n = 9 and p = 1/2 \n" ); document.write( "---- \n" ); document.write( "mean = np = 9*(1/2) = 4.5 \n" ); document.write( "std = sqrt(npq) = sqrt[2.25] = 1.5 \n" ); document.write( "---- \n" ); document.write( "P(4<= x <=9) = 1-P(0<= x <=3) = 0.7461 \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " \n" ); document.write( " |