You are confusing a Probability Density Function (PDF) with a phenomenological curve fit. No one is claiming that time is a random variable drawn from a normal distribution.
> No one is claiming that time is a random variable drawn from a normal distribution.
You are doing that implicitly by fitting a Gaussian curve.
> No one is claiming that time is a random variable drawn from a normal distribution.
You are doing that implicitly by fitting a Gaussian curve.