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I understand that white noise is not always Gaussian. In general, is the Vpp/Vrms noise stated in operational amplifier and ADC data sheets Gaussian/has a mean of 0? Any exemptions to be aware of while selecting an operational amplifier?
My guess for interpreting the Vpp values: x V of noise is a Gaussian curve with values ranging from +x/2 V to -x/2 V. A 10 V of Vpp noise means that the noise is a Gaussian curve with a +5 V max value on one side of the Gaussian curve and the -5V on the other side. Can it be more than x/2 on either the positive or the negative side?

I understand that white noise is not always Gaussian. In general, is the $V_{pp}$ and $V_{RMS}$ noise stated in operational amplifier and ADC datasheets Gaussian? And is its mean zero? Any exemptions to be aware of while selecting an operational amplifier?
My guess for interpreting the $V_{pp}$ of noise values: $V_{pp}=x \,\text{V}$ means there is a Gaussian curve with values ranging from $+\frac x 2\,\text{V}$ to $-\frac x 2\,\text{V}$.
That is, $V_{pp}=10\,\text{V}$ means that the noise is a Gaussian curve with a $+5\,\text{V}$ max value on one side of the Gaussian curve and the $-5\,\text{V}$ on the other side.
Can it be more than $\frac x 2$ on either the positive or the negative side?

noise ADC opamp