document.write( "Question 847506: the probabilities that a production process will produce 0,1,2,3,4, or 5 units in one hour are 0.05,0.16,0.21,0.34,0.22 and 0.02, respectively. find the mean and the standard deviation of this probability distribution \n" ); document.write( "
Algebra.Com's Answer #510492 by swincher4391(1107)\"\" \"About 
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mean = 0*0.05 + 1 * 0.16 + 2*0.21 + 3*0.34 + 4 * 0.22 + 5* 0.02 = \"highlight%282.58%29\"\r
\n" ); document.write( "\n" ); document.write( "n = 6\r
\n" ); document.write( "\n" ); document.write( "find the second moment\r
\n" ); document.write( "\n" ); document.write( "0^2*0.05 + 1^2 * 0.16 + 2^2*0.21 + 3^2*0.34 + 4^2 * 0.22 + 5^2* 0.02 = 8.08\r
\n" ); document.write( "\n" ); document.write( "Take second moment - (first moment)^2\r
\n" ); document.write( "\n" ); document.write( "= \"8.08+-+2.58%5E2+=+1.423\"\r
\n" ); document.write( "\n" ); document.write( "That's our variance. To find SD square root.\r
\n" ); document.write( "\n" ); document.write( "=\"sqrt%281.423%29+=+highlight%281.19%29\"\r
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