document.write( "Question 625941: The probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are 0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectfully. Find the standard deviation for the probability distribution. \n" ); document.write( "
Algebra.Com's Answer #393928 by Theo(13342)![]() ![]() You can put this solution on YOUR website! this is what i understand this to be: \n" ); document.write( " \r\n" ); document.write( "x p(x) p(x)*x (x-mean)^2 (x-mean)^2*p(x)\r\n" ); document.write( "0 0.6274 0 0.19333609 0.121299063\r\n" ); document.write( "1 0.3102 0.3102 0.31393609 0.097382975\r\n" ); document.write( "2 0.0575 0.115 2.43453609 0.139985825\r\n" ); document.write( "3 0.0047 0.0141 6.55513609 0.03080914\r\n" ); document.write( "4 0.0001 0.0004 12.67573609 0.001267574\r\n" ); document.write( " \r\n" ); document.write( " mean >>>>> 0.4397 \r\n" ); document.write( " variance >>>> 0.390744576\r\n" ); document.write( " standard deviation >>>> 0.625095654\r\n" ); document.write( " \n" ); document.write( "mean is .4397 \n" ); document.write( "standard deviation is .625095654 which is the square root of the variance. \n" ); document.write( "mean is calculated as x occurrences times the probability of x occurrences. \n" ); document.write( "these are then all added up to get the mean. \n" ); document.write( "variance is calculated as follows: \n" ); document.write( "first you get x occurrences minus the mean. \n" ); document.write( "then you square that. \n" ); document.write( "then you multiply that by the probability of x occurrences \n" ); document.write( "these are then all added up to get the variance. \n" ); document.write( "than you take the square root of the variance to get the standard deviation. \n" ); document.write( " \n" ); document.write( " |