Let $ \Theta$ is any parameter of any statistic such that $\Theta $ has an unbiased, normally distributed estimator $\overline \Theta$. Now, it is written in the book, that: $$E \overline \Theta = \Theta$$
I don't understand. I am asking for intuitive explanation and using definition of expected value.
And the second issue: It is also written If a sample $(X_1, ..., X_n)$ comes from normal distribution, them mean(X) is also Normal.
I am not sure. :)