SOLUTION: Find the mean and standard deviation of the following probability distribution: x 1 2 3 P(x) 0.1 0.2 0.7 Please show all of your work.

Algebra ->  Probability-and-statistics -> SOLUTION: Find the mean and standard deviation of the following probability distribution: x 1 2 3 P(x) 0.1 0.2 0.7 Please show all of your work.       Log On


   

Question 359003: Find the mean and standard deviation of the following probability distribution:
x 1 2 3
P(x)
0.1
0.2
0.7

Please show all of your work.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Mean = mu+=+1%2A0.1+%2B+2%2A0.2+%2B+3%2A0.7+=+2.6
Variance = sigma%5E2+=+%281-2.6%29%5E2%2A0.1++%2B+%282-2.6%29%5E2%2A0.2+%2B+%287-2.6%29%5E2%2A0.7
=2.56%2A0.1%2B0.36%2A0.2%2B19.36%2A0.7+=+13.88.
Thus ,
standard deviation = sigma+=+sqrt%2813.88%29+=+3.7256, to four decimal places.