x 4 5 6 7 8 P(X=x) 0.3 0.2 0.2 0.1 0.2
Step 2 of 5 : Find the variance. Round your answer to one decimal place. Answer
Solution:
We have to find the variance for the given probability distribution.
Formula:
where
Thus we need to make following table:
x | P(x) | x*P(x) | x^2 *P(x) |
---|---|---|---|
4 | 0.3 | 1.2 | 4.8 |
5 | 0.2 | 1 | 5 |
6 | 0.2 | 1.2 | 7.2 |
7 | 0.1 | 0.7 | 4.9 |
8 | 0.2 | 1.6 | 12.8 |
Thus
thus
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