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.)