SOLUTION: 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 devia

Algebra ->  Probability-and-statistics -> SOLUTION: 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 devia      Log On


   



Question 847508: 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
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
mean = 0*0.05 + 1 * 0.16 + 2*0.21 + 3*0.34 + 4 * 0.22 + 5* 0.02 = highlight%282.58%29
n = 6
find the second moment
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
Take second moment - (first moment)^2
= 8.08+-+2.58%5E2+=+1.423
That's our variance. To find SD square root.
=sqrt%281.423%29+=+highlight%281.19%29