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For the probability density function, over the given interval, find

`E(x),E(x^(2))`

, the mean, the variance, and the standard deviation.

```
f(x)=12x^(2),[-(1)/(2),(1)/(2)]
E(x)=
```

(Type an integer or a simplified fraction.)

`E(x^(2))=`

`◻`

(Type an integer or a simplified fraction.)

`\mu =`

`◻`

(Type an integer or a simplified fraction.)

`\sigma ^(2)=`

`◻`

(Type an integer or a simplified fraction.)

`\sigma =`

`◻`

(Type an exact answer, using radicals as needed.)