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(Solved): For the probability density function, over the given interval, find E(x),E(x^(2)), the mean, the var ...



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.)

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