What I know:
White noise process is random process whose power spectral density is constant for all frequencies. ( Sure about this) White noise process has mean zero. (Not sure about this)
Gaussian Distribution is bell-shaped. With some mean and variance. A standard Gaussian Distribution has mean 0 and variance 1.
Also there is this White Gaussian Noise. Which has Gaussian in its name. But I am not sure where it actually differs with White Noise.
Any help in clearing these concepts would be appreciated.
EDIT 1: My question is about the distribution of white noise. That has become difficult for me to answer due to confusions I have mentioned above. Please be polite about it.